Tudóstér: Algebra és Számelmélet Tanszék publikációi

Bérczes, A., Pink, I., Young, P.: Cullen numbers and Woodall numbers in generalized Fibonacci sequences.
J. Number Theory. 262 86-102, 2024.

Bérczes, A., Bugeaud, Y., Győry, K., Mello, J., Ostafe, A., Sha, M.: Explicit bounds for the solutions of superelliptic equations over number fields.
Forum Math. "Accepted by Publisher" (-), -, 2024.

Gyimesi, E., Nyul, G., Rácz, G.: Generalizations of Stirling-like and Bell-like numbers.
In: New Frontiers in Number Theory and Applications. Ed.: J. Guàrdia, N. Minculete, D. Savin, M. Vela, A. Zekhnini, Birkhäuser, Cham, 191-220, 2024, (Trends in Mathematics, ISSN 2297-0215) ISBN: 9783031519581

Miyazaki, T., Pink, I.: Number of solutions to a special type of unit equations in two unknowns.
Am. J. Math. 146 (2), 295-369, 2024.

Miyazaki, T., Pink, I.: Number of solutions to a special type of unit equations in two unknowns, II.
Res. number theory. 10 (2), 1-41, 2024.

Arnóczki, T., Nyul, G.: On a conjecture concerning the minimal index of pure quartic fields.
Publ. Math. Debr. 104 (3-4), 471-478, 2024.

Arnóczki, T., Nyul, G.: On restricted r-Stirling numbers, also known as r-Bessel numbers.
Australas. J. Combin. 89 (1), 49-60, 2024.

Hajdu, L., Sebestyén, P.: Terms of recurrence sequences in the solution sets of norm form equations.
Arch. Math. 122 179-187, 2024.

Bertók, C., Hajdu, L.: The resolution of three exponential Diophantine equations in several variables.
J. Number Theory. 260 29-40, 2024.

Nyul, G.: A Bolyaiakról a temesvári levél 200. évfordulója kapcsán.
Debr. Szle. 31 (4), 400-411, 2023.

Bérczes, A., Hajdu, L., Luca, F., Pink, I.: Additive Diophantine Equations with Binary Recurrences, S-Units and Several Factorials.
Results Math. 78 (4), 1-32, 2023.

Hajdu, L., Tijdeman, R., Varga, N.: Diophantine equations for Littlewood polynomials.
Acta Arith. 210 223-234, 2023.

Nyul, G.: Egy közel 110 éves érettségi feladat a 150 éves Debreceni Fazekas Mihály Gimnázium múltjából.
Középisk. Mat. Fiz. Lapok. 73 (9), 514-515, 2023.

Hajdu, L., Herendi, O.: Extrema of polynomials with real roots and Diophantine equations.
J. Number Theory. 242 626-646, 2023.

Bhargava, M., Evertse, J., Győry, K., Remete, L., Swaminathan, A.: Hermite equivalence of polynomials.
Acta Arith. 209 17-58, 2023.

Remete, L.: Hogyan dobjunk fejet 51% eséllyel?.
Debr. szle. 30 (1), 99-102, 2023.

Gaál, I.: Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields.
Acta Sci. Math. 89 (1-2), 3-12, 2023.

Hajdu, L., Tijdeman, R., Varga, N.: On polynomials with only rational roots.
Mathematika. 69 (3), 867-878, 2023.

Gaál, I., Remete, L.: On the monogenity of pure quartic relative extensions of Q(i).
Acta Sci. Math. 2023 1-15, 2023.

Hajdu, L., Tijdeman, R.: The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots.
J. Lond. Math. Soc.-Second Ser. 108 (1), 309-339, 2023.

Hajdu, L., Varga, N.: Diophantine equations for polynomials with restricted coefficients, I (Power values).
Bull. Aust. Math. Soc. 106 (2), 254-263, 2022.

Tengely, S., Ulas, M.: Diophantine problems related to cyclic cubic and quartic fields.
J. Number Theory. 240 656-684, 2022.

Evertse, J., Győry, K.: Effective results and methods for diophantine equations over finitely generated domains.
Cambridge University Press, Cambridge, 240 p., 2022. ISBN: 9781009005852

Pintér, Á., Rakaczki, C.: Indecomposability of linear combinations of Bernoulli polynomial.
Publ. Math. Debr. 100 (3-4), 487-494, 2022.

Győry, K., Hajdu, L., Sárközy, A.: On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions).
Acta Arith. 202 (1), 29-42, 2022.

Gaál, I., Pohst, M.: On calculating the number N(D) of global cubic fields F of given discriminant D.
J. Number Theory. 236 479-491, 2022.

Gaál, I.: On the monogenity of certain binomial compositions.
J. Algebra, Number Theory & Appl. 57 1-16, 2022.

Győry, K.: S-unit equations and Masser`s ABC conjecture in algebraic number fields.
Publ. Math. Debr. 100 (3-4), 499-511, 2022.

Hajdu, L., Sebestyén, P.: Terms of recurrence sequences in the solution sets of generalized Pell equations.
Int. J. Number Theory. 18 (07), 1605-1612, 2022.

Hajdu, L., Papp, Á., Tijdeman, R.: The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations.
Ramanujan J. 58 (4), 1075-1093, 2022.

Hajdu, L., Papp, Á.: Uniform bounds for the number of powers in arithmetic progressions.
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116 (4), 1-7, 2022.

Gaál, I.: An experiment on the monogenity of a family of trinomials.
J. Algebra, Number Theory & Appl. 51 (1), 97-111, 2021.

Gyimesi, E., Nyul, G.: Associated r-Dowling numbers and some relatives.
C. R. Math. 359 (1), 47-55, 2021.

Gaál, I.: Calculating "small" solutions of inhomogeneous relative Thue inequalities.
Funct. Approx. Comment. Math. 65 (2), 141-156, 2021.

Fazekas, I., Barta, A., Fórián, L.: Ensemble noisy label detection on MNIST.
Ann. Math. Inform. 53 125-137, 2021.

Kereskényiné Balogh, Z., Nyul, G.: Fubini numbers and polynomials of graphs.
Mediterr. J. Math. 18 (6), 1-10, 2021.

Nyul, G.: Gondolatok a Sophie Germain-prímek kapcsán.
Termész. Világa. 152 (6), 282-283, 2021.

Győry, K., Hajdu, L., Sárközy, A.: On additive and multiplicative decompositions of sets of integers with restricted prime factors, I. (Smooth numbers).
Indag. Math.-New Ser. 32 (2), 365-374, 2021.

Gaál, I., Pohst, M., Pohst, M.: On computing integral points of a Mordell curve - the method of Wildanger revisited.
Exp. Math. 30 (1), 127-134, 2021.

Adédji, K., He, B., Pintér, Á., Togbé, A.: On the Diophantine pair {a,3a}.
J. Number Theory. 227 330-351, 2021.

Hajdu, G., Hajdu, L.: On the Liouville function on rational polynomial values.
Acta Arith. 201 (2), 119-130, 2021.

Pongrácz, A., Vincze, C.: On the Reconstruction of the Center of a Projection by Distances and Incidence Relations.
J. Math. Imaging Vis. 63 (4), 443-456, 2021.

Hajdu, L., Herendi, O.: Polynomial values of surface point counting polynomials.
Int. J. Number Theory. 17 (01), 15-32, 2021.

Hajdu, L., Tengely, S.: Powers in arithmetic progressions.
Ramanujan J. 55 (3), 965-986, 2021.

Bodirsky, M., Pinsker, M., Pongrácz, A.: Projective Clone Homomorphisms.
J. Symb. Log. 86 (1), 148-161, 2021.

Bérczes, A., Hajdu, L., Tijdeman, R.: Skolem's conjecture confirmed for a family of exponential equations, II.
Acta Arith. 197 (2), 129-136, 2021.

Gyimesi, E.: The r-Dowling-Lah Polynomials.
Mediterr. J. Math. 18 (4), 1-16, 2021.

Pongrácz, A.: Binary Linear Codes with Near-Extremal Maximum Distance.
SIAM Discret. Math. 34 (4), 2300-2317, 2020.

Győry, K.: Corrigendum to "Bounds for the solutions of S-unit equations and decomposable form equations II": [Publ. Math. Debrecen 94 (2019), 507-526].
Publ. Math. Debr. 97 (3-4), 525, 2020.

Bazsó, A., Bérczes, A., Kolouch, O., Pink, I., Šustek, J.: Diophantine equations connected to the Komornik polynomials.
Glas. Mat. 55 (1), 13-27, 2020.

Pongrácz, A.: Discordant Voting Protocols for Cyclically Linked Agents.
Electron. J. Combin. 27 (1), 1-14, 2020.

Hajdu, L., Varga, N.: Polynomial values of figurate numbers.
J. Number Theory. 214 79-99, 2020.

Bazsó, A., Hajdu, L.: Polynomial values of sums of hyperbolic binomial coefficients.
Funct. Approx. Comment. Math. 63 (1), 95-112, 2020.

Hajdu, L., Tijdeman, R.: Skolem's conjecture confirmed for a family of exponential equations.
Acta Arith. 192 (1), 105-110, 2020.

Figula, Á., Horváth, G., Milkovszki, T., Muzsnay, Z.: The Lie symmetry group of the general Liénard-type equation.
J. Nonlinear Math. Phys. 27 (2), 185-198, 2020.

Gaál, I.: Calculating relative power integral bases in totally complex quartic extensions of totally real fields.
J. Algebra, Number Theory & Appl. 44 (2), 129-157, 2019.

Bodirsky, M., Martin, B., Pinsker, M., Pongrácz, A.: Constraint Satisfaction Problems for Reducts of Homogeneous Graphs.
SIAM J. Comput. 48 (4), 1224-1264, 2019.

Gaál, I.: Diophantine Equations and Power Integral Bases.
Birkhäuser, Basel, 326 p., 2019. ISBN: 9783030238643

Hajdu, A., Tijdeman, R., Hajdu, L.: Finding well approximating lattices for a finite set of points.
Math. Comput. 88 (315), 369-387, 2019.

Gaál, I., Remete, L.: Integral Bases and Monogenity of Composite Fields.
Exp. Math. 28 (2), 209-222, 2019.

Gyimesi, E., Nyul, G.: New combinatorial interpretations of r-Whitney and r-Whitney-Lah numbers.
Discret Appl. Math. 255 222-233, 2019.

Tengely, S., Ulas, M.: Power values of sums of certain products of consecutive integers and related results.
J. Number Theory. 197 341-360, 2019.

Bérczes, A., Dujella, A., Hajdu, L., Saradha, N., Tijdeman, R.: Products of factorials which are powers.
Acta Arith. 190 (4), 339-350, 2019.

Gaál, I., Jadrijević, B., Remete, L.: Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields.
Int. J. Number Theory. 15 (1), 11-27, 2019.

Kátai-Urbán, K., Pongrácz, A., Szabó, C.: The fine- and generative spectra of varieties of monounary algebras.
Algebr. Universalis. 80 (2), 1-18, 2019.

Gyimesi, E., Nyul, G.: A comprehensive study of r-Dowling polynomials.
Aequ. Math. 92 (3), 515-527, 2018.

Bertók, C., Hajdu, L.: A Hasse-type principle for exponential Diophantine equations over number fields and its applications.
Monatsh. Math. 187 (3), 425-436, 2018.

He, B., Pintér, Á., Togbé, A., Yang, S.: Another generalization of a theorem of Baker and Davenport.
J. Number Theory. 182 325-343, 2018.

Nyul, G.: A rímek kombinatorikája.
Polygon. 25 (1), 63-71, 2018.

Pongrácz, A.: Discordant Voting Protocols for Cyclically Linked Agents.
In: Proceedings of the World Congress on Engineering 2018. Eds.: S. I. Ao, Len Gelman, David WL Hukins, Andrew Hunter, A. M. Korsunsky, Newswood Limited, Hong Kong, 165-168, 2018, (Lecture Notes in Engineering and Computer Science, ISSN 2078-0966 ; 2235.) ISBN: 9789881404794

Arnóczki, T.: Elements with prime and small indices in bicyclic biquadratic number fields.
Period. Math. Hung. 77 (1), 83-93, 2018.

Nyul, G.: Emlékülés Szele Tibor tiszteletére.
Debr. Szle. 26 (3), 337-339, 2018.

Gaál, I., Remete, L.: Integral bases and monogenity of the simplest sextic fields.
Acta Arith. 183 (2), 173-183, 2018.

Nyul, G.: Megemlékezés Szele Tiborról.
Érintő. 9 753, 2018.

Tengely, S., Ulas, M.: On a problem of Pethő.
J. Symb. Comput. 89 216-226, 2018.

Hajdu, L., Papp, Á.: On asymptotic density properties of the sequence (n!).
Acta Arith. 184 (4), 317-340, 2018.

Hajdu, L., Papp, Á., Szakács, T.: On the equation A!B! =C!.
J. Number Theory. 187 160-165, 2018.

Bertók, C., Győry, K., Hajdu, L., Schinzel, A.: On the smallest number of terms of vanishing sums of units in number fields.
J. Number Theory. 192 328-347, 2018.

Bugeaud, Y., Evertse, J., Győry, K.: S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points.
Acta Arith. 184 (2), 151-185, 2018.

Bodirsky, M., Bradley-Williams, D., Pinsker, M., Pongrácz, A.: The universal homogeneous binary tree.
J. Logic Comput. 28 (1), 133-163, 2018.

Gaál, I., Jadrijević, B., Remete, L.: Totally real Thue inequalities over imaginary quadratic fields.
Glas. Mat. 53 (2), 229-238, 2018.

Fuchs, C., Hajdu, L.: 30 years of collaboration.
Period. Math. Hung. 74 (2), 255-274, 2017.

Pink, I., Szikszai, M.: A Brocard-Ramanujan-type equation with Lucas and associated Lucas sequences.
Glas. Mat. 52 (1), 11-21, 2017.

Sanna, C., Szikszai, M.: A coprimality condition on consecutive values of polynomials.
Bull. London Math. Soc. 49 (5), 908-915, 2017.

Gyimesi, E., Nyul, G.: A note on combinatorial subspaces and r-Stirling numbers.
Util. Math. 105 137-139, 2017.

Hajdu, L., Tijdeman, R.: Consistency conditions for discrete tomography.
Fundam. Inform. 155 (4), 425-447, 2017.

Evertse, J., Győry, K.: Discriminant equations in Diophantine number theory.
Cambridge University Press, Cambridge, xviii, 457 p., 2017. ISBN: 9781107097612

Szikszai, M.: Distinct products in Lucas sequences - on a problem of Kimberling.
Fibonacci Q. 2017 (55), 291-296, 2017.

Evertse, J., Győry, K.: Effective results for discriminant equations over finitely generated integral domains.
In: Number Theory-Diophantine problems uniform distribution and applications. Ed.: Christian Elsholtz, Peter Grabner, Springer, Cham, 237-256, 2017. ISBN: 9783319553566

Bertók, C., Hajdu, L., Pink, I., Rábai, Z.: Linear combinations of prime powers in binary recurrence sequences.
Int. J. Number Theory. 13 (261), [1-12], 2017.

Nyul, G., Rácz, G.: Lucas sequences and the Hosoya index of graphs.
Fibonacci Q. 55 (4), 340-342, 2017.

Hajdu, A., Harangi, B., Besenczi, R., Lázár, I., Emri, G., Hajdu, L., Tijdeman, R.: Measuring regularity of network patterns by grid approximations using the LLL algorithm.
In: Proceedings of the 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 2016, IEEE, [Piscataway], 1524-1529, 2017. ISBN: 9781509048472

Hajdu, L., Szikszai, M., Ziegler, V.: On arithmetic progressions in Lucas sequences.
J. Integer Seq. 2017 (20), Article 17, 2017.

Chim, K., Pink, I., Ziegler, V.: On a variant of Pillai's problem.
Int. J. Number Theory. 13 (07), 1711-1727, 2017.

Bertók, C., Nyul, G.: On monochromatic linear recurrence sequences.
Contrib. Discret. Math. 11 (2), 58-62, 2017.

Pintér, Á., Rakaczki, C.: On the decomposability of linear combinations of Euler polynomials.
Miskolc Math. Notes. 18 (1), 407-415, 2017.

Bertók, C., Hajdu, L., Pethő, A.: On the distribution of polynomials with bounded height.
J. Number Theory. 179 172-184, 2017.

Bertók, C., Hajdu, L., Luca, F., Sharma, D.: On the number of non-zero digits of integers in multi-base representations.
Publ. Math. Debr. 90 (1-2), 181-194, 2017.

Bodirsky, M., Pinsker, M., Pongrácz, A.: Reconstructing the topology of clones.
Trans. Amer. Math. Soc. 369 (5), 3707-3740, 2017.

Dujella, A., Kazalicki, M., Mikić, M., Szikszai, M.: There are infinitely many rational Diophantine sextuples.
Int. Math. Res. Notices. 2017 (2), 490-508, 2017.

Nyul, G.: 125 éve született Egerváry Jenő, az iskola egykori diákja.
In: A Debreceni Fazekas Mihály Gimnázium Értesítője a 2014/2015-ös és a 2015/2016-os iskolai tanévről. Szerk.: Gargya Péterné, Fazekas Mihály Gimnázium, Debrecen, 182-185, 2016.

Bertók, C., Hajdu, L.: A Hasse-type principle for exponential Diophantine equations and its applications.
Math. Comput. 85 (298), 849-860, 2016.

Gaál, I., Remete, L., Szabó, T.: Calculating power integral bases by using relative power integral bases.
Funct. Approx. Comment. Math. 54 (2), 141-149, 2016.

Hajdu, A., Tomán, H., Kovács, L., Hajdu, L.: Composing ensembles by stochastic approach under execution time constraint.
In: Proceedings of the 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 2016, IEEE, [Piscataway], 222-227, 2016.

Bérczes, A., Luca, F., Pink, I., Ziegler, V.: Finiteness results for Diophantine triples with repdigit values.
Acta Arith. 172 (2), 133-148, 2016.

Bérczes, A., Dujella, A., Hajdu, L., Tengely, S.: Finiteness results for F-Diophantine sets.
Monatsh. Math. 180 (3), 469-484, 2016.

Dini, P., Karimi, F., Nehaniv, C., Bonivárt, Á., Horváth, G., Muzsnay, Z., Figula, Á., Milkovszki, T., Munro, A., Ruzsnavszky, F.: Further Analysis of Cellular Pathways.
Biological and Mathematical Basis of InteractionComputing, [s.l.], 98 p., 2016.

Aszalós, L., Hajdu, L., Pethő, A.: On a correlational clustering of integers.
Indag. Math.-New Ser. 27 (1), 173-191, 2016.

Hajdu, L., Saradha, N.: On generalizations of problems of Recaman and Pomerance.
J. Number Theory. 162 552-563, 2016.

Tengely, S., Ulas, M.: On products of disjoint blocks of arithmetic progressions and related equations.
J. Number Theory. 165 67-83, 2016.

Győry, K.: On some norm inequalities and discriminant inequalities in CM-fields.
Publ. Math. Debr. 89 (4), 513-523, 2016.

Pintér, Á., Rakaczki, C.: On the decomposability of linear combinations of Bernoulli polynomials.
Monatsh. Math. 180 (3), 631-648, 2016.

Bérczes, A., Hajdu, L., Miyazaki, T., Pink, I.: On the Diophantine equation 1+x^a+z^b=y^n.
J. Comb. Number Theory. 8 (2), 145-154, 2016.

Bérczes, A., Hajdu, L., Miyazaki, T., Pink, I.: On the equation 1^k+2^k+...+x^k=y^n for fixed x.
J. Number Theory. 163 43-60, 2016.

Hajdu, L., Laishram, S., Szikszai, M.: Perfect powers in products of terms of elliptic divisibility sequences.
Bull. Aust. Math. Soc. 94 (03), 395-404, 2016.

Hajdu, L., Laishram, S., Tengely, S.: Power values of sums of products of consecutive integers.
Acta Arith. 172 333-349, 2016.

Győry, K., Hajdu, L., Tijdeman, R.: Representation of finite graphs as difference graphs of S-units. II.
Acta Math. Hung. 149 (2), 423-447, 2016.

Bertók, C.: The complete solution of the Diophantine equation (4m^2+1)^x+(5m^2-1)^y=(3m)^z.
Period. Math. Hung. 72 (1), 37-42, 2016.

Halasi, Z., Hannusch, C., Nguyen, H.: The largest character degrees of the symmetric and alternating groups.
Proc. Amer. Math. Soc. 144 (5), 1947-1960, 2016.

He, B., Pintér, Á., Togbé, A., Varga, N.: A generalization of a problem of Mordell.
Glas. Mat. 50 (1), 35-41, 2015.

Gaál, I.: Calculating "small" solutions of relative Thue equations.
Exp. Math. 24 (2), 142-149, 2015.

Hajdu, L., Szikszai, M.: Common factors in series of consecutive terms of associated Lucas and Lehmer sequences.
Fibonacci Q. 53 (3), 221-229, 2015.

Gál, Z., Gaál, I.: Debreceni szuperszámítógép szolgáltatások a kutatásban.
In: Az elmélet és a gyakorlat találkozása a térinformatikában = Theory meets practice in GIS : Térinformatikai Konferencia és Szakkiállítás, Debreceni Egyetem / [szerk. Boda Judit], Debreceni Egyetemi Kiadó, Debrecen, 145-153, 2015. ISBN: 9789633184882

Bérczes, A.: Effective results for division points on curves in Gm^2.
J. Théor. Nombres Bordeaux. 27 (2), 405-437, 2015.

Bérczes, A.: Effective results for unit points on curves over finitely generated domains.
Math. Proc. Camb. Philos. Soc. 158 (02), 331-353, 2015.

Bazsó, A., Bérczes, A., Győry, K., Pintér, Á.: Erratum to the paper "On the resolution of equations Axn - Byn = C in integers x, y and n >= 3, II".
Publ. Math. Debr. 86 (1-2), 251-253, 2015.

Brunetti, S., Dulio, P., Hajdu, L., Peri, C.: Ghosts in Discrete Tomography.
J. Math. Imaging Vis. 53 (2), 210-224, 2015.

Pintér, Á., Bennett, M.: Intersections of recurrence sequences.
Proc. Amer. Math. Soc. 143 (6), 2347-2353, 2015.

Horváth, G., Nehaniv, C.: Length of polynomials over finite groups.
J. Comput. Syst. Sci. 81 (8), 1614-1622, 2015.

Cossey, J., Halasi, Z., Maróti, A., Nguyen, H.: On a conjecture of Gluck.
Math. Z. 279 (3-4), 1067-1080, 2015.

Hajdu, L.: On a conjecture of Schäffer concerning the equation 1^k + ... + x^k = y^n.
J. Number Theory. 155 129-138, 2015.

Ćustić, A., Hajdu, L., Kreso, D., Tijdeman, R.: On conjectures and problems of Ruzsa concerning difference graphs of S-units.
Acta Math. Hung. 146 (2), 391-404, 2015.

He, B., Togbé, A., Pintér, Á.: On simultaneous Pell equations and related Thue equations.
Proc. Amer. Math. Soc. 143 (11), 4685-4693, 2015.

Nyul, G., Rauf, B.: On the existence of van der Waerden type numbers for linear recurrence sequences with constant coefficients.
Fibonacci Q. 53 (1), 53-60, 2015.

Gaál, I., Remete, L.: Power integral bases in a family of sextic fields with quadratic subfields.
Tatra Mt. Math. Publ. 64 (1), 59-66, 2015.

Tengely, S., Varga, N.: Rational function variant of a problem of Erdős and Graham.
Glas. Mat. 50 (1), 65-76, 2015.

Gaál, I., Remete, L.: Solving binomial Thue equations.
J. Algebra, Number Theory & Appl. 36 (1), 29-42, 2015.

Nyul, G.: Some thoughts concerning power sums.
Teach. Math. Comput. Sci. 13 (2), 303-308, 2015.

Kovács, L., Pintér, Á.: Stirling számok vizsgálata HPC környezetben.
In: Tavaszi Szél - Spring Wind 2015 : Absztraktkötet. Szerk.: Keresztes Gábor, Publio Kiadó, Budapest, 302-303, 2015.

Kovács, L., Pintér, Á.: Stirling számok vizsgálata HPC környezetben.
In: Tavaszi Szél - Spring Wind III. Konferenciakötet. Szerk.: Keresztes Gábor, Líceum Kiadó ; Budapest : Doktoranduszok Országos Szövetsége, Eger, 181-187, 2015. ISBN: 9786155509964

Gál, Z., Nagy, Á., Szikszai, M., Terdik, G.: Stochastic modeling of wireless networks: A case study in time domain.
In: Proceedings of the 9th International Conference on Applied Informatics January 29 - Februar 1, 2014. Eger, Hungary Volume II [elektronikus dokumentum]. Ed.: by Kovács Emőd, Kusper Gábor, Kunkli Roland, Tómács Tibor, Eszterházy Károly Főiskola, Eger, 195-201, 2015. ISBN: 9786155297182

Nehaniv, C., Rhodes, J., Egri-Nagy, A., Dini, P., Morris, E., Horváth, G., Karimi, F., Schreckling, D., Schilstra, M.: Symmetry structure in discrete models of biochemical systems: natural subsystems and the weak control hierarchy in a new model of computation driven by interactions.
Philos. Trans. R. Soc. A-Math. Phys. Eng. Sci. 373 (2046), 20140223-, 2015.

Bodirsky, M., Pinsker, M., Pongrácz, A.: The 42 reducts of the random ordered graph.
Proc. London Math. Soc. 111 (3), 591-632, 2015.

Horváth, G.: The complexity of the equivalence and equation solvability problems over meta-Abelian groups.
J. Algebra. 433 208-230, 2015.

Nyul, G., Rácz, G.: The r-Lah numbers.
Discret. Math. 338 (10), 1660-1666, 2015.

Evertse, J., Győry, K.: Unit equations in Diophantine number theory.
Cambridge Univ Press, Cambridge, XV, 363 p., 2015. ISBN: 9781107097605

Bérczes, A., Hajdu, L., Hirata-Kohno, N., Kovács, T., Pethő, A.: A key exchange protocol based on Diophantine equations and S-integers.
JSIAM Letters. 6 (0), 85-88, 2014.

Gaál, I., Remete, L.: Binomial Thue equations and power integral bases in pure quartic fields.
J. Algebra, Number Theory & Appl. 32 (1), 49-61, 2014.

Gaál, I., Petrányi, G.: Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields.
Czech. Math. J. 64 (2), 465-475, 2014.

Gaál, I., Remete, L., Szabó, T.: Calculating power integral bases by solving relative Thue equations.
Tatra Mt. Math. Publ. 59 (1), 79-92, 2014.

Hirata-Kohno, N., Kovács, T.: Computing S-integral points on elliptic curves of rank at least 3.
RIMS Kôkyûroku. 1898 92-102, 2014.

Akiyama, S., Aszalós, L., Hajdu, L., Pethő, A.: Correlation clustering of graphs and integers.
Infocommun. j. 6 (4), 3-12, 2014.

Bazsó, A., Pink, I.: Diophantine equations with Appell sequences.
Period. Math. Hung. 69 (2), 222-230, 2014.

Hajdu, L., Ziegler, V.: Distinct unit generated totally complex quartic fields.
Math. Comput. 83 (287), 1495-1512, 2014.

Bérczes, A., Evertse, J., Győry, K.: Effective results for Diophantine equations over finitely generated domains.
Acta Arith. 163 (1), 71-100, 2014.

Evertse, J., Győry, K.: Effective results for Diophantine equations over finitely generated domains: A survey.
In: Number theory, analysis and combinatorics, Proceedings of the Pál Turán Memorial Conference, August 22-26, 2011, Budapest / J. Pintz, A. Biró, K. Győry, G. Harcos, M. Simonovits, J. Szabados, eds, Walter De Gruyter & Co, [S.l.], 63-74, 2014. ISBN: 9783110282375

Hajdu, L., Pintér, Á., Tengely, S., Varga, N.: Equal values of figurate numbers.
J. Number Theory. 137 130-141, 2014.

Győry, K., Kovács, T., Péter, G., Pintér, Á.: Equal values of standard counting polynomials.
Publ. Math. Debr. 84 (1-2), 259-277, 2014.

Figula, Á., Halasi, Z., Horváth, G., Podoski, K.: Examples Based on the Chevalley correspondence between Lie Groups and SNAGs.
Biological and Mathematical Basis of InteractionComputing, [s.l.], 54 p., 2014.

Horváth, G., Székelyhidi, L., Wilkens, B.: Non-synthesizable varieties.
J. Math. Anal. Appl. 417 (1), 394-399, 2014.

Pintz, J., Bíró, A., Győry, K., Harcos, G., Simonovits, M., Szabados, J.: Number theory, analysis, and combinatorics: Proceedings of the Paul Turán Memorial Conference held August 22-26, 2011 in Budapest.
De Gruyter GmbH., Berlin, xii, 406 p., 2014. ISBN: 9783110282375

Tengely, S., Varga, N.: On a generalization of a problem of Erdős and Graham.
Publ. Math.-Debr. 84 (3-4), 475-482, 2014.

Hajdu, L., Szikszai, M.: On common factors within a series of consecutive terms of an elliptic divisibility sequence.
Publ. Math. Debr. 84 (1-2), 291-301, 2014.

Pethő, A., Tengely, S.: On composite rational functions.
In: Number theory, analysis, and combinatorics : Proceedings of the Paul Turán Memorial Conference held August 22-26, 2011 in Budapest. Ed.: by János Pintz, András Biró, Kálmán Győry, Gergely Harcos, Miklós Simonovits, József Szabados, De Gruyter, Berlin, 241-259, 2014. ISBN: 9783110282375

Bérczes, A., Pink, I.: On generalized Lebesgue-Ramanujan-Nagell equations.
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Bérczes, A., Ziegler, V.: On simultaneous palindromes.
J. Comb. Number Theory. 6 (1), 37-49, 2014.

Hajdu, L., Pink, I.: On the Diophantine equation 1+2^a+x^b=y^n.
J. Number Theory. 143 1-13, 2014.

Bérczes, A., Pethő, A.: On the sumset of binary recurrence sequences.
Publ. Math. Debr. 84 (1-2), 279-290, 2014.

Nyul, G.: Pexiderized functional equations for vector products and quaternions.
Acta Math. Hung. 142 (2), 519-525, 2014.

Grasegger, G., Horváth, G., Kearnes, K.: Polynomial equivalence of finite rings.
J. Aust. Math. Soc. 96 (02), 244-257, 2014.

Győry, K., Hajdu, L., Tijdeman, R.: Representation of finite graphs as difference graphs of S-units, I.
J. Comb. Theory Ser. A. 127 (1), 314-335, 2014.

Dombek, D., Hajdu, L., Pethő, A.: Representing algebraic integers as linear combinations of units.
Period. Math. Hung. 68 (2), 135-142, 2014.

Bérczes, A., Dujella, A., Hajdu, L.: Some Diophantine properties of the sequence of S-units.
J. Number Theory. 138 48-68, 2014.

Kereskényiné Balogh, Z., Nyul, G.: Stirling numbers of the second kind and Bell numbers for graphs.
Australasian Journal of Combinatorics. 58 (2), 264-274, 2014.

Pintér, Á., Srivastava, H.: Addition theorems for the Appell polynomials and the associated classes of polynomial expansions.
Aequ. Math. 85 (3), 483-495, 2013.

Kim, D., Park, Y., Pintér, Á.: A Diophantine problem concerning polygonal numbers.
Bull. Aust. Math. Soc. 88 (02), 345-350, 2013.

Hajdu, L., Kovács, T., Pethő, A., Pohst, M.: An optimization problem for lattices.
Exp. Math. 22 (4), 443-455, 2013.

Gyimesi, E., Nyul, G.: A note on Golomb's method and the continued fraction method for Egyptian fractions.
Ann. Math. et Inf. 42 129-134, 2013.

Ayoub, A., Hajdu, A., Nagy, Á., Szakács, J., Tóth, J.: Automatikus pigmenthálózat-detektálás dermatoszkópos képeken.
In: Képfeldolgozók és Alakfelismerők 9. országos konferenciája. Szerk.: Czúni László, NJSZT-KÉPAF, Bakonybél, 439-449, 2013.

Tengely, S.: Balancing numbers which are products of consecutive integers.
Publ. Math. Debr. 83 (1-2), 197-205, 2013.

Hajdu, L., Tijdeman, R.: Bounds for Approximate Discrete Tomography Solutions.
SIAM Discret. Math. 27 (2), 1055-1066, 2013.

Dalen, B., Hajdu, L., Tijdeman, R.: Bounds for discrete tomography solutions.
Indag. Math.-New Ser. 24 (2), 391-402, 2013.

Batenburg, K., Fortes, W., Hajdu, L., Tijdeman, R.: Bounds on the quality of reconstructed images in binary tomography.
Discret Appl. Math. 161 (15), 2236-2251, 2013.

Halasi, Z., Maróti, A., Petényi, F.: Character expansiveness in finite groups.
International Journal of Group Theory. 2 (2), 9-17, 2013.

Bilu, Y., Fuchs, C., Luca, F., Pintér, Á.: Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations.
Publ. Math. Debr. 82 (1), 219-254, 2013.

Hajdu, A., Hajdu, L., Kovács, L., Tomán, H.: Diversity measures for majority voting in the spatial domain.
In: Hybrid Artificial Intelligent Systems : 8th International Conference, HAIS 2013, Salamanca, Spain, September 11-13, 2013. Proceedings, Springer-Verlag, Berlin Heidelberg, 314-323, 2013, (Lecture Notes in Artificial Intelligence, ISSN 0302-9743 ; 8073) ISBN: 9783642408458

Bérczes, A., Evertse, J., Győry, K.: Effective results for hyper- and superelliptic equations over number fields.
Publ. Math. Debr. 82 (3-4), 727-756, 2013.

Evertse, J., Győry, K.: Effective results for unit equations over finitely generated integral domains.
Math. Proc. Camb. Philos. Soc. 154 (2), 351-380, 2013.

Földvári, A.: Egyenletmegoldhatóság bonyolultsága szemipattern csoportok felett.
In: "Együtt a biztosabb tudományos karrierért, a jövőtervezésért" című VII. Ph.D.-Konferencia előadásai (Budapest, 2013. október. 11.). Szerk.: Koncz István, Szova Ilona, Professzorok az Európai Magyarországért Egyesület, Budapest, 322-345, 2013. ISBN: 9789638991508

Csabay, K., Daragó, J.: Egy félcsoport bemutatása.
Polygon. 21 (1-2), 122-127, 2013.

Nyul, B., Nyul, G.: Functional equations for vector products and quaternions.
Aequ. Math. 85 (1-2), 35-39, 2013.

Hajdu, A., Hajdu, L., Jónás, Á., Kovács, L., Tomán, H.: Generalizing the majority voting scheme to spatially constrained voting.
IEEE Trans. Image Process. 22 (11), 4182-4194, 2013.

Kovács, L., Hajdu, L.: High Performance Computing With Mathematical Applications.
In: WSPS 2013.: 1st Winter School of PhD Students in Informatics and Mathematics, Tradeorg Nyomdaipari és Kereskedelmi Kft, Balatonalmádi, 13, 2013. ISBN: 9789638800121

Gaál, I., Kozma, L.: Lineáris algebra.
Debreceni Egyetemi Kiadó, Debrecen, 167 p., 2013. ISBN: 9789633183229

Horváth, G., Korándi, J., Szabó, C.: Mathematics in Good Will Hunting II.: Problems from the students perspective.
Teach. Math. Comp. Sci. 11 (1), 3-19, 2013.

Bérczes, A., Evertse, J., Győry, K.: Multiply monogenic orders.
Ann. Scuola Norm. Super. Pisa-Cl. 12 (2), 467-497, 2013.

Bazsó, A.: On alternating power sums of arithmetic progressions.
Integral Transform. Spec. Funct. 24 (12), 945-949, 2013.

Fieker, C., Gaál, I., Pohst, M.: On computing integral points of a Mordell curve over rational function fields in characteristic >3.
J. Number Theory. 133 (2), 738-750, 2013.

Bérczes, A., Ziegler, V.: On geometric progressions on Pell equations and Lucas sequences.
Glas. Mat. 48 (1), 1-22, 2013.

Kovács, T., Péter, G., Varga, N.: On some polynomial values of repdigit numbers.
Period. Math. Hung. 67 (2), 221-230, 2013.

Varga, N., Kovács, T., Péter, G.: On some polynomial values of repdigit numbers.
Electronic Notes in Discrete Mathematics. 43 413-223, 2013.

He, B., Pink, I., Pintér, Á., Togbé, A.: On the Diophantine inequality |X^2-cXY^2+Y^4|<=c+2.
Glas. Mat. 48 (2), 291-299, 2013.

Bennett, M., Pink, I., Rábai, Z.: On the number of solutions of binomial Thue inequalities.
Publ. Math. Debr. 83 (1-2), 241-256, 2013.

Rábai, Z., Bennett, M., Pink, I.: On the number of solutions of binomial Thue inequalities.
Electron. Notes Discret. Math. 43 299-304, 2013.

Győry, K.: Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions, II.
In: Erdös Centennial / László Lovász, Imre Z. Ruzsa, Vera T. Sós (eds.), Springer, Berlin, 311-324, 2013, (Bolyai Society Mathematical Studies, ISSN 1217-4696) ISBN: 9783642392856

Bérczes, A., Csernusné Ádámkó, É., Folláth, J., Pethő, A.: Portable electronic device, system and method for authenticating a document associated with a geographical location.
[szabadalom]

Gaál, I., Szabó, T.: Relative power integral bases in infinite families of quartic extensions of quadratic field.
JP J. Algebra, Number Theory Appl. 29 (1), 31-43, 2013.

Bertók, C.: Representing integers as sums or differences of general power products.
Acta Math. Hung. 141 (3), 291-300, 2013.

Pintér, Á., Tengely, S.: The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials.
Adv. Differ. Equ. 245 [1-9], 2013.

Gaál, I., Pohst, M.: The sum of two S-units being a perfect power in global function fields.
Mathematica Slovaka. 63 (1), 69-76, 2013.

Hajdu, A., Tóth, J., Pistár, Z., Domokos, B., Török, Z.: An ensemble-based collaborative framework to support customized user needs.
In: 3rd IEEE International Conference on Cognitive Infocommunications, CogInfoCom 2012 : Proceedings, December 2-5, 2012 Košice, Slovakia. Ed.: Péter Baranyi, IEEE, Danvers, 285-290, 2012. ISBN: 9781467351874

Hajdu, A., Hajdu, L., Tijdeman, R.: Approximation of the Euclidean Distance by Chamfer Distances.
Acta Cybern. 20 (3), 399-417, 2012.

Bazsó, A., Pintér, Á., Srivastava, H.: A refinement of Faulhaber's theorem concerning sums of powers of natural numbers.
Appl. Math. Lett. 25 (3), 486-489, 2012.

Győry, K., Pintér, Á.: Binomial Thue equations, ternary equations and power values of polynomials.
J. Math. Sci. 180 (5), 569-580, 2012.

Horváth, G., Mayr, P., Pongrácz, A.: Characterizing Translations on Groups by Cosets of Their Subgroups.
Commun. Algebr. 40 (9), 3141-3168, 2012.

Halasi, Z., Halasi, Z., Maróti, A., Sidki, S., Bezerra, M.: Conjugacy expansiveness in finite groups.
J. Group Theory. 15 (4), 485-496, 2012.

Hannusch, C., Lakatos, P.: Construction of self-dual radical 2-codes of given distance.
Discrete Math. Algorithm. Appl. 4 (4), 1250052-1-1250052-13, 2012.

Hajdu, L., Saradha, N.: Disproof of a conjecture of Jacobsthal.
Math. Comput. 81 (280), 2461-2471, 2012.

Horváth, G., Szabó, C.: Equivalence and equation solvability problems for the alternating group A4.
J. Pure Appl. Algebr. 216 (10), 2170-2176, 2012.

Bessenyei, M., Horváth, G., Kézi, C.: Functional equations on finite groups of substitutions.
Expo. Math. 30 (3), 283-294, 2012.

Tomán, H., Kovács, L., Jónás, Á., Hajdu, L., Hajdu, A.: Generalized Weighted Majority Voting with an Application to Algorithms Having Spatial Output.
In: Hybrid Artificial Intelligent Systems. Ed.: Emilio Corchado, Václav Snášel, Ajith Abraham, Michał Woźniak, Manuel Graña, Sung-Bae Cho, Springer-Verlag Berlin Heidelberg, Heidelberg, 56-67, 2012, (Lecture Notes in Computer Science ; 7209) ISBN: 9783642289309

Hajdu, L., Saradha, N., Tijdeman, R.: On a conjecture of Pomerance.
Acta Arith. 155 (2), 175-184, 2012.

Pintér, Á., Ziegler, V.: On arithmetic progressions in recurrences: A new characterization of the Fibonacci sequence.
J. Number Theory. 132 (8), 1686-1706, 2012.

Fuchs, C., Pethő, A., Tengely, S.: On decomposable rational functions with given number of singularities.
RIMS Kokyuroku. 1809 54-64, 2012.

Horváth, G., Kátai-Urbán, K., Pach, P., Pluhár, G., Pongrácz, A., Szabó, C.: On free algebras in varieties generated by iterated semidirect products of semilattices.
Int. J. Algebr. Comput. 22 (07), 1250063-, 2012.

Dujella, A., Győry, K., Pintér, Á.: On power values of pyramidal numbers, I.
Acta Arith. 155 (2), 217-226, 2012.

Halasi, Z.: On the base size for the symmetric group acting on subsets.
Stud. Sci. Math. Hung. 49 (4), 492-500, 2012.

Bérczes, A., Pink, I.: On the Diophantine equation x^2+d^{2l+1}=y^n.
Glasg. Math. J. 54 (02), 415-428, 2012.

Hajdu, L., Szikszai, M.: On the GCD-s of k consecutive terms of Lucas sequences.
J. Number Theory. 132 (12), 3056-3069, 2012.

Bérczes, A., Luca, F.: On the largest prime factor of numerators of Bernoulli numbers.
Indag. Math.-New Ser. 23 (1-2), 128-134, 2012.

Gaál, I., Szabó, T.: Power integral bases in parametric families of biquadratic fields.
JP J. Algebra, Number Theory Appl. 24 (1), 105-114, 2012.

Hajdu, L., Tijdeman, R.: Representing integers as linear combinations of power products.
Arch. Math. 98 (6), 527-533, 2012.

Horváth, G.: The complexity of the equivalence problem over finite rings.
Glasg. Math. J. 54 (01), 193-199, 2012.

Tomán, H., Kovács, L., Jónás, Á., Hajdu, L., Hajdu, A.: A Generalization of Majority Voting Scheme for Medical Image Detectors.
In: Hybrid Artificial Intelligent Systems : 6th international conference, HAIS 2011, Wroclaw, Poland, May 23-25, 2011; proceedings. Eds.: Emilio Corchado, Marek Kurzynski, Michal Wozniak, Springer, Heidelberg [etc.], 189-196, 2011, (Lecture Notes in Computer Science ; 6679.) ISBN: 9783642212215

Hajdu, L., Kovács, T.: Almost fifth powers in arithmetic progression.
J. Number Theory. 131 (10), 1912-1923, 2011.

Németh-Durkó, E., Földvári, A.: Biomasszából előállított tömörítvények gazdasági értékelése.
In: Interdiszciplináris kutatás : a Debreceni Egyetem hallgatóinak tanulmányai. Szerk.: Mező Ferenc, Debreceni Egyetemi K., Debrecen, 66-79, 2011. ISBN: 9789633181201

Batenburg, K., Fortes, W., Hajdu, L., Tijdeman, R.: Bounds on the Difference between Reconstructions in Binary Tomography.
In: Discrete Geometry for Computer Imagery : 16th IAPR International Conference, DGCI 2011, Nancy, France, April 6-8, 2011. Proceedings / [edited by] Isabelle Debled-Rennesson, Eric Domenjoud, Bertrand Kerautret, Philippe Even, Springer, New York, 369-380, 2011, (Lecture Notes in Computer Science ; 6607.) ISBN: 9783642198663

Csabay, K., Daragó, J.: Combinatorics Teaching Experiment.
Teach. Math. Comp. Sci. 9 (1), 27-44, 2011.

Győry, K., Hajdu, L., Tijdeman, R.: Irreducibility criteria of Schur-type and Pólya-type.
Monatsh. Math. 163 (4), 415-443, 2011.

Hajdu, L., Saradha, N.: On a problem of Recaman and its generalization.
J. Number Theory. 131 (1), 18-24, 2011.

Ferenczik, J., Pintér, Á., Porvázsnyik, B.: On equal values of Stirling numbers of the second kind.
Appl. Math. Comput. 218 (3), 980-984, 2011.

Péter, G., Pintér, Á., Schinzel, A.: On equal values of trinomials.
Monatsh. Math. 162 (3), 313-320, 2011.

Tengely, S.: On the Diophantine equation L_n=\binom{x}{5}.
Publ. Math.-Debr. 79 (3/4), 749-758, 2011.

Pink, I., Rábai, Z.: On the diophantine equation x^2+5^k17^l=y^n.
Commun. Math. 19 (1), 1-9, 2011.

Bérczes, A., Dujella, A., Hajdu, L., Luca, F.: On the size of sets whose elements have perfect power n-shifted products.
Publ. Math.-Debr. 79 (3/4), 325-339, 2011.

Bérczes, A., Luca, F.: On the sum of digits of numerators of Bernoulli numbers.
Can. Math. Bul.-Bul. Can. Math. 56 (4), 723-728, 2011.

Hajdu, L., Tijdeman, R.: Representing integers as linear combinations of powers.
Publ. Math.-Debr. 79 (3/4), 461-468, 2011.

Pintér, Á., Varga, N.: Resolution of a nontrivial Diophantine equation without reduction methods.
Publ. Math.-Debr. 79 (3-4), 605-610, 2011.

Gaál, I., Pohst, M.: Solving explicitly F(x,y)=G(x,y) over function fields.
Funct. Approx. Comment. Math. 45 (1), 79-88, 2011.

Horváth, G.: The complexity of the equivalence and equation solvability problems over nilpotent rings and groups.
Algebr. Universalis. 66 (4), 391-403, 2011.

Horváth, G., Szabó, C.: The extended equivalence and equation solvability problems for groups.
DMTCS. 13 (4), 23-32, 2011.

Halasi, Z., Pálfy, P.: The number of conjugacy classes in pattern groups is not a polynomial function.
J. Group Theory. 14 (6), 841-854, 2011.

Horváth, G., Kátai-Urbán, K., Pach, P., Pluhár, G., Szabó, C., Pongrácz, A.: The number of monounary algebras.
Algebr. Universalis. 66 (1-2), 81-83, 2011.

Nyul, G., Rauf, B.: Upper bounds on van der Waerden type numbers for some second order linear recurrence sequences.
Ann. Math. et Inf. 38 117-122, 2011.

Dini, P., Schreckling, D., Horváth, G.: Algebraic and Categorical Framework for Interaction Computing and Symbiotic Security.
In: Paradigms for biologically-inspired autonomic networks and services : the BIONETS Project eBook / Eitan Altman, Paolo Dini, Daniele Miorandi, Daniel Schreckling (eds.), Universitätsbibliothek Passau : Fakultät für Informatik und Mathematik, Passau, 105-176, 2010.

Tengely, S.: Algebrai görbék a diofantikus számelméletben.
Egyetemi Kiadó, Debrecen, 215 p., 2010.

Gaál, I., Szabó, T.: A note on the minimal indices of pure cubic fields.
JP J. Algebra, Number Theory Appl. 19 (2), 129-139, 2010.

Bérczes, A., Hajdu, L., Pethő, A.: Arithmetic progressions in the solution sets of norm form equations.
Rocky Mt. J. Math. 40 (2), 383-396, 2010.

Pintér, Á., Poorten, A.: A simple observation on simple zeros.
Arch. Math. 95 (4), 355-361, 2010.

Győry, K., Pintér, Á.: Binomial'nye uravneniâ Tuè, ternarnye uravneniâ i stepeni sredi značenij polinomov = Binomial Thue equations, ternary equations, and power values of polynomials.
Fundam. prikl. mat. 16 (5), 61-77, 2010.

Gaál, I., Pohst, M.: Diophantine equations over global function fields IV: S-unit equations in several variables with an application to norm form equations.
J. Number Theory. 130 (3), 493-506, 2010.

Csabay, K., Daragó, J.: How long is the diagonal of a square?.
In: New trends in humanities and science in the Eastern European Region / Stanisaw Lipinski, Academy of professional development and re-training of educators, Moszkva, 59-78, 2010. ISBN: 978584296179

Horváth, G., Dini, P.: Lie group analysis of a p53-mdm2 ode model.
In: Digital Ecosystems : third international conference, OPAALS 2010, Aracuju, Sergipe, Brazil, March 22-23, 2010, revised selected papers / [edited by] Fernando Antonio Basile Colugnati, Lia Carrari Rodrigues Lopes, Saulo Faria Almeida Barretto, Springer Verlag, New York, 285-304, 2010, (Lecture notes of the institute for computer sciences, social informatics and telecommunications engineering ; 67) ISBN: 9783642148583

Bovdi, V., Srivastava, J.: Lie nilpotency indices of modular group algebras.
Algebr. Colloq. 17 (1), 17-26, 2010.

Kovács, T., Liptai, K., Olajos, P.: On (a,b)-balancing numbers.
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Bérczes, A., Folláth, J., Pethő, A.: On a family of preimage-resistant functions.
Tatra Mt. Math. Publ. 47 1-13, 2010.

Hajdu, L., Saradha, N.: On a problem of Pillai and its generalizations.
Acta Arith. 144 (4), 323-347, 2010.

Bérczes, A., Liptai, K., Pink, I.: On balancing recurrence sequences.
Fibonacci Q. 48 (2), 121-128, 2010.

Bazsó, A.: On binomial Thue equations and ternary equations with S-unit coefficients.
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Bérczes, A., Liptai, K., Pink, I.: On generalized balancing sequences.
Fibonacci Q. 48 (2), 121-128, 2010.

Hajdu, L., Luca, F.: On the length of arithmetic progressions in linear combinations of S-units.
Arch. Math. 94 (4), 357-363, 2010.

Bazsó, A., Bérczes, A., Győry, K., Pintér, Á.: On the resolution of equations Axn-Byn=C in integers x,y and n >- 3. II.
Publ. Math. Debr. 76 (1-2), 227-250, 2010.

Bérczes, A.: On the sumsets of geometric progressions.
Publ. Math.-Debr. 77 (3-4), 261-276, 2010.

Győry, K.: S-unit equations in number fields: effective results, generalizations, abc-conjecture.
RIMS Kokyuroku. 1710 71-84, 2010.

Győry, K., Smyth, C.: The divisibility of an-bn by powers of n.
Integers. 10 (3), 319-334, 2010.

Horváth, E., Horváth, G., Németh, Z., Szabó, C.: The number of square islands on a rectangular sea.
Acta Sci. Math. 76 (1-2), 35-48, 2010.

Bovdi, V., Konovalov, A.: Torsion units in integral group ring of Higman-Sims simple group.
Stud. Sci. Math. Hung. 47 (1), 1-11, 2010.

Bérczes, A., Járási, I.: An application of index forms in cryptography.
Period. Math. Hung. 58 (1), 35-45, 2009.

Hajdu, L., Tengely, S.: Arithmetic progressions of squares, cubes and n-th powers.
Funct. Approx. Comment. Math. 41 (2), 129-138, 2009.

Kovács, T.: Combinatorial numbers in binary recurrences.
Period. Math. Hung. 58 83-98, 2009.

Hajdu, L., Tijdeman, R., Tengely, S.: Cubes in products of terms in arithmetic progression.
Publ. Math. Debrecen. 74 (1-2), 215-232, 2009.

Gaál, I., Pohst, M.: Diophantine equations over global function fields V: Resultant equations in two unknown polynomials.
Int. J. Pure Appl. Math. 53 307-317, 2009.

Bérczes, A., Evertse, J., Győry, K.: Effective results for linear equations in two unknowns from a multiplicative division group.
Acta Arith. 136 (4), 331-349, 2009.

Bérczes, A., Győry, K., Evertse, J., Pontreau, C.: Effective results for points on certain subvarieties of tori.
Math. Proc. Cambridge Phil. Soc. 147 (1), 69-94, 2009.

Tengely, S.: Finding g-gonal numbers in recurrence sequences.
Fibonacci Q. 46/47 235-240, 2009.

Bovdi, V.: Group algebras whose group of units are powerful.
J. Aust. Math. Soc. 87 325-328, 2009.

Bovdi, V., Rudko, V.: Indecomposable Linear Groups.
Indian J. Pure Appl. Math. 40 (5), 327-336, 2009.

Bovdi, V., Konovalov, A.: Integral group ring of Rudvalis simple group.
Ukr. Math. J. 61 (1), 3-13, 2009.

Bovdi, V., Konovalov, A., Grishkov, A.: Kimmerle conjecture for the Held and O'Nan sporadic simple groups.
Sci. Math. Jap. Online. 69 233-241, 2009.

Hajdu, L., Schinzel, A., Skałba, M.: Multiplicative properties of sets of positive integers.
Arch. Math. 93 (3), 269-276, 2009.

Luca, F., Nyul, G.: On a divisibility problem related to binomial coefficients.
J. Comb. Numb. Theory. 1 (2), 183-187, 2009.

Nagy, Á., Rábai, Z., Vincze, C.: On a special class of generalized conics with infinitely many focal points.
Teach. Math. Comp. Sci. 7 (1), 87-99, 2009.

Lakatos, P.: On finite p-groups with cyclic characteristic series.
Publ. Math. Debr. 74 (1-2), 187-193, 2009.

Gaál, I., Pohst, M.: On solving norm equations in global function fields.
J. Math. Crypt. 3 237-248, 2009.

Luca, F., Tengely, S., Togbé, A.: On the Diophantine Equation x^2 + C = 4y^n.
Ann. Sci. Math. Québec. 33 (2), 171-184, 2009.

Abu Muriefah, F., Luca, F., Siksek, S., Tengely, S.: On the Diophantine Equation x2+C=2yn.
Int. J. Number. Theory. 5 (6), 1117-1128, 2009.

Hajdu, L.: Optimal systems of fundamental S-units for LLL-reduction.
Period. Math. Hung. 59 (1), 79-105, 2009.

Hajdu, L., Kovács, T.: Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations.
Math. Comput. 78 (266), 1201-1210, 2009.

Győry, K., Hajdu, L., Pintér, Á.: Perfect powers from products of consecitive terms in arithmetic progression.
Compos. Math. 145 (4), 845-864, 2009.

Ádám, Z., Hajdu, L., Luca, F.: Representing integers as linear combinations of S-units.
Acta Arith. 138 101-107, 2009.

Lakatos, P.: Spectral Properties of Coxeter Transformation.
Southeast Asian Bull. Math. 33 1-7, 2009.

Bérczes, A.: Újabb eredmények a diofantikus egyenletek elméletében.
Debreceni Egyetem, Debrecen, 50 p., 2009.

Hajdu, L., Tijdeman, R., Schlickewei, H., Schmidt, K., Tichy, R.: A criterion for polynomials to divide infinitely many k-nomials.
In: Diophantine Approximations. Ed.: H. P. Schlickewei, K. Schmidt, R. F. Tichy, Springer-Verlag, New York, 211-220, 2008.

Horváth, G., Molnár-Sáska, I.: A mérgezett csokoládé rejtélye.
Mat. Lapok. 13 28-43, 2008.

Horváth, G., Nehaniv, C., Szabó, C.: An assertion concerning functionally complete algebras and NP-completeness.
Theor. Comput. Sci. 407 (1-3), 591-595, 2008.

Gaál, I., Pohst, M.: A note on the number of solutions of resultant equations.
J. Algebra, Number Theory and Applications. 12 185-189, 2008.

Bódi, B.: Bevezetés a csoportgyűrűk elméletébe.
Debreceni Egyetem Kossuth Egyetemi Kiadó, Debrecen, 122 p., 2008.

Kovács, T.: Combinatorial Diophantine equations: the genus 1 case.
Publ. Math. Debrecen. 72 243-255, 2008.

Gaál, I., Pohst, M.: Diophantine equations over global function fields III: An application to resultant form equations.
Funct. Approx. Comment. Math. 39 (1), 97-102, 2008.

Bovdi, V., Konovalov, A.: Integral group ring of the Mathieu simple group M23.
Commun. Algebra. 36 (7), 2670-2680, 2008.

Bovdi, V., Konovalov, A., Marcos, E.: Integral group ring of the Suzuki sporadic simple group.
Publ. Math. Debrecen. 72 487-503, 2008.

Csabay, K., Daragó, J.: Középértékek.
Polygon. 17 (1-2), 91-97, 2008.

Bódi, B., Grishkov, A.: Lie properties of crossed products.
J. of Algebra 320 3447-3460, 2008.

Mező, I.: New properties of r-Stirling series.
Acta Math. Hung. 119 (4), 341-358, 2008.

Tengely, S.: Note on a paper "An Extension of a Theorem of Euler" by Hirata-Kohno et al..
Acta Arith. 134 329-335, 2008.

Győry, K.: On certain arithmetic graphs and their applications to diophantine problems.
Funct. Approx. Comment. Math. 39 (2), 289-314, 2008.

Győry, K.: On the abc conjecture in algebraic number fields.
Acta Arith. 133 (3), 281-295, 2008.

Bérczes, A., Pink, I.: On the Diophantine equation x2 + p2k = yn.
Arch. Math. 91 (6), 2008.

Győry, K., Pintér, Á., Saradha, N.: Polynomial powers and a common generalization of binomial Thue-Mahler equations and S-unit equations.
In: Diophantine Equations. Ed.: Saradha N, Narosa Publishing House, New Delhi, 103-119, 2008.

Kovács, I., Hermann, J., O'Neill, H., Gerald, J., Sambridge, M., Horváth, G.: Quantitative absorbance spectroscopy with unpolarized light: Part II. : Experimental evaluation and development of a protocol for quantitative analysis of mineral IR spectra.
Am. Miner. 93 (5-6), 765-778, 2008.

Gaál, I., Pohst, M.: Solving resultant form equations over number fields.
Math. Comput. 77 (264), 2447-2453, 2008.

Horváth, G., Mérai, L.: Szóprobléma nem-feloldható csoportok fölött.
Mat. Lapok. 13 20-27, 2008.

Bovdi, V., Konovalov, A., Linton, S.: Torsion units in integral group ring of the Mathieu simple group M22.
LMS J. Comput. Math. 11 28-39, 2008.

Bovdi, V., Hertweck, M.: Zassenhaus conjecture for central extensions of S5.
J. Lie Theory. 11 63-74, 2008.

Hajdu, L., Tijdeman, R., Herman, G., Kuba, A.: Algebraic discrete tomography.
In: Advances in discrete tomography and its applications. Ed.: Gabor T. Herman, Attila Kuba, Birkhäuser, Boston, 55-81, 2007, (Applied and numerical harmonic analysis) ISBN: 9780817636142

Lakatos, P., Losonczi, L.: Circular interlacing with reciprocal polynomials.
Math. inequal. appl. 10 (4), 761-769, 2007.

Bérczes, A., Evertse, J., Győry, K.: Diophantine problems related to discriminants and resultants of binary forms.
In: Diophantine geometry : proceedings. Ed.: by Umberto Zannier, Edizioni Della Normale, Pisa, 45-63, 2007. ISBN: 8876422065

Bazsó, A.: Further computational experiences on norm form equations with solutions forming arithmetic progressions.
Publ. Math. Debr. 71 (3-4), 489-497, 2007.

Hajdu, A., Tijdeman, R., Hajdu, L.: General neighborhood sequences in Zn.
Discrete Appl. Math. 155 (18), 2507-2522, 2007.

Hajdu, G., Hajdu, L.: Hosszú's equation over the Gaussian and Eisenstein integers.
Aequ. Math. 75 (1-2), 65-74, 2007.

Bovdi, V., Konovalov, A.: Integral group ring of the first Mathieu simple group.
Lond. Math. Soc. lect. note ser. 339 237-245, 2007.

Bovdi, V., Konovalov, A.: Integral group ring of the McLaughlin simple group.
Algebra Discrete Math. 2 43-53, 2007.

Mező, I., Simon, P.: Integrals of weighted maximal kernels with respect to Vilenkin systems.
Publ. Math. Debrecen. 71 57-65, 2007.

Bovdi, V.: Modular group algebras with almost maximal Lie nilpotency indices II..
Sci. Math. Jpn. 65 267-271, 2007.

Bovdi, V., Siciliano, S.: Normality in group rings.
Algebra Anal. 19 (2), 1-9, 2007.

Pink, I.: On the diophantine equation x2+2alpha3betha5gamma7delta=yn.
Publ. Math. Debrecen. 70 149-166, 2007.

Bérczes, A., Evertse, J., Győry, K.: On the number of pairs of binary forms with given degree and given resultant.
Acta Arith. 128 (1), 19-54, 2007.

Győry, K., Pintér, Á.: On the resolution of equations Axn-Byn=C in integers x,y and n>=3, I.
Publ. Math. Debrecen. 70 (3-4), 483-501, 2007.

Pintér, Á., Rakaczki, C.: On the zeros of shifted Bernoulli polynomials.
Appl. Math. Comput. 187 (1), 379-383, 2007.

Fazekas, A., Hajdu, A., Hajdu, L.: Properties of a natural ordering relation for octagonal neighborhood sequences.
In: 5th International Symposium on Image and Signal Processing and Analysis, IEEE Computer Society, Istanbul, 168-173, 2007.

Horváth, G., Mérai, L., Szabó, C., Lawrence, J.: The complexity of the equivalence problem for nonsolvable groups.
Bull. London Math. Soc. 39 (3), 433-438, 2007.

Bódi, B., Debreceni Egyetem: A gyűrűelmélet alapjai.
Kossuth Egyetemi Kiadó, Debrecen, 115 p. :, 2006.

Frisco, P., Henkel, C., Tengely, S.: An algorithm for SAT without an extraction phase.
In: DNA computing : 11th International Workshop on DNA Computing, DNA11, London, on, Canada, June 6-9, 2005. revised selected papers / Alessandra Carbone, Niles A. Pierce (eds.), Springer, Berlin ; New York, 67-80, 2006, (Lecture notes in computer science ; 3892) ISBN: 3540341617

Bruin, N., Győry, K., Hajdu, L., Tengely, S.: Arithmetic progressions consisting of unlike powers.
Indag. Math.-New Ser. 17 (4), 539-555, 2006.

Bennett, M., Győry, K., Mignotte, M., Pintér, Á.: Binomial Thue equations and polynomial powers.
Compos. Math. 142 (5), 1103-1121, 2006.

Győry, K., Yu, K.: Bounds for the solutions of S-unit equations and decomposable form equations.
Acta Arith. 123 (1), 9-41, 2006.

Tamássy, L.: Differential geometry.
In: A panorama of Hungarian mathematics in the twentieth century, I. / János Horvath (Ed.), Springer, ; Budapest : Janos Bolyai Mathematical Society, Berlin, 385-413, 2006, (Bolyai Society Mathematical Studies ; vol. 14.) ISBN: 9783540289456

Gaál, I., Pohst, M.: Diophantine equations over global function fields I: The Thue equation.
J. Number Theory. 119 (1), 49-65, 2006.

Gaál, I., Pohst, M.: Diophantine Equations over Global Function Fields II: Integral Solutions of Thue Equations.
Exp. Math. 15 (1), 1-6, 2006.

Gaál, I., Nyul, G.: Index form equations in biquadratic fields: the p-adic case.
Publ. Math. Debrecen. 68 (1-2), 225-242, 2006.

Győry, K.: Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions.
In: More Sets, Graphs and Numbers : A Salute to Vera Sós and András Hajnal / (eds.) Ervin Győri; Gyula O. H. Katona; László Lovász, Springer ; Budapest : Janos Bolyai Mathematical Society, Berlin ; New York, 143-155, 2006.

Győry, K.: Polynomials and binary forms with given discriminant.
Publ. Math.-Debr. 69 (4), 473-499, 2006.

Gaál, I., Robertson, L.: Power integral bases in prime-power cyclotomic fields.
J. Number Theory. 120 (2), 372-384, 2006.

Bennett, M., Bruin, N., Győry, K., Hajdu, L.: Powers from Products of Consecutive Terms in Arithmetic Progression.
Proc. London Math. Soc. 92 (2), 273-306, 2006.

Gaál, I.: Solving explicitly decomposable form equations over global function fields.
J. Algebra, Number Theory & Appl. 6 (2), 425-434, 2006.

Bovdi, V.: Symmetric units and group identities in group algebras. I..
Acta Math. Acad. Paedag. Nyíregyh. 22 (2), 149-159, 2006.

Horváth, G., Szabó, C.: The complexity of checking identities over finite groups.
Int. J. Algebr. Comput. 16 (5), 931-939, 2006.

Gaál, I.: A fast algorithm for finding small solutions of F(X,Y)=G(X,Y) over number fields.
Acta Math. Hung. 106 (1-2), 41-51, 2005.

Beukers, F., Tengely, S.: An implementation of Runge's method for Diophantine equations.
arXiv.org 2005 1-10, 2005.

Tengely, S.: Effective Methods for Diophantine Equations.
Leiden University, Leiden, 85 p., 2005.

Brouwer, A., Horváth, G., Molnár-Sáska, I., Szabó, C.: On three-rowed chomp.
Integers. 5 (1), G7, 11, 2005.

Győry, K., Pethő, A., Pintér, Á.: Béla Brindza (1958-2003).
Publ. Math. Debr. 65 (1-2), 1-11, 2004.

Bennett, M., Győry, K., Pintér, Á.: On the Diophantine equation 1^k+2^k +...+ x^k = y^n.
Compos. Math. 140 (6), 1417-1431, 2004.

Tengely, S.: On the diophantine equations x2 + a2 = 2yp.
Indag. Math.-New Ser. 15 (2), 291-304, 2004.

Győry, K., Pink, I., Pintér, Á.: Power values of polynomials and binomial Thue-Mahler equations.
Publ. Math. Debr. 65 (3-4), 341-362, 2004.

Tengely, S.: Runge-type Diophantine Equations.
In: Annual Report 2004 / G. van Dijk, S. M. Verduyn Lunel, P. Stevenhagen, F. Bakker (ed.), Leiden University, Leiden, 3-8, 2004.

Jacobson, M., Pintér, Á., Walsh, P.: A computational approach for solving y(2)=1(k)+2(k)+...+x(k).
Math. Comput. 72 (244), 2099-2110, 2003.

Lakatos, P.: A new construction of Salem polynomials.
C. R. Math. Rep. Acad. Sci. Canada. 25 (2), 47-54, 2003.

Bódi, B., Mihovski, S.: Conjugacy classes in group algebras of p-groups.
Comptes Rendus de l'Academie Bulgare des Sciences. 56 (1-5), 5-8, 2003.

Bérczes, A., Ködmön, J.: Methods for the calculation of values of a norm form.
Publ. Math. Debrecen. 63 751-768, 2003.

Bovdi, V.: On a filtered multiplicative bases of group algebras II.: Dedicated to Professor P. M. Gudivok on his 65th birthday..
Algebr. Represent. Theory. 6 (3), 353-368, 2003.

Tengely, S.: On the Diophantine equation F(x)=G(y).
Acta Arith. 110 (2), 185-200, 2003.

Győry, K., Pintér, Á.: On the equation 1^k+2^k + ... + x^k=y^n.
Publ. Math. Debrecen. 62 (3-4), 403-414, 2003.

Gaál, I., Olajos, P.: Recent results on power integral bases of composite fields.
Acta Acad. Paed. Agr. Sect. Math. 30 45-54, 2003.

Bilu, Y., Brindza, B., Kirschenhofer, P., Pintér, Á., Tichy, R., Schinzel, A.: Diophantine equations and Bernoulli polynomials.
Compos. Math. 131 (2), 173-188, 2002.

Gaál, I.: Diophantine Equations and Power Integral Bases.
Birkhauser Boston, Boston; Basel; Berlin, 184 p., 2002. ISBN: 9780817642716

Nyul, G.: Non-monogenity of multiquadratic number fields.
Acta Math. Inform. Univ. Ostrav. 10 (1), 85-93, 2002.

Bérczes, A., Győry, K.: On the number of solutions of decomposable polynomial equations.
Acta Arith. 101 (2), 171-187, 2002.

Gaál, I., Pohst, M.: On the resolution of relative Thue equations.
Math. Comput. 71 (237), 429-440, 2002.

Gaál, I.: On the resolution of resultant type equations.
J. Symb. Comp. 34 (2), 137-144, 2002.

Everest, G., Gaál, I., Győry, K., Röttger, C.: On the spatial distribution of solutions of decomposable form equations.
Math. Comput. 71 (238), 633-648, 2002.

Gaál, I., Olajos, P., Pohst, M.: Power integral bases in orders of composite fields.
Exp. Math. 11 (1), 87-90, 2002.

Pintér, Á.: Zeros of the sum of polynomials.
J. Math. Anal. Appl. 270 (1), 303-305, 2002.

Hajdu, L., Tijdeman, R.: Algebraic aspects of discrete tomography.
J. Reine Angew. Math. 2001 (534), 119-128, 2001.

Gaál, I., Nyul, G.: Computing all monogeneous mixed dihedral quartic extensions of a quadratic field.
J. Theor. Nr. Bordx. 13 (1), 137-142, 2001.

Brindza, B., Schmidt, W., Pintér, Á.: Multiplicities of binary recurrences.
Can. math. bull. 44 (1), 19-21, 2001.

Gaál, I.: Power integral bases in cubic relative extensions.
Exp. Math. 10 (1), 133-139, 2001.

Nyul, G.: Power integral bases in totally complex biquadratic number fields.
Acta Acad. Paed. Agr., Sect. Math. 28 79-86, 2001.

Bódi, B.: Algebra: 2. köt., A gyűrűelmélet alapjai.
Kossuth Egyetemi Kiadó, Debrecen, 137 p., 2000.

Gaál, I., Lettl, G.: A parametric family of quintic Thue equations II..
Monatsh. Math. 131 (1), 29-35, 2000.

Hajdu, L., Pintér, Á.: Combinatorial diophantine equations.
Publ. Math. Debrecen. 56 (3/4), 391-403, 2000.

Gaál, I.: Computing power integral bases in algebraic number fields II.
In: Algebraic number theory and Diophantine analysis: proceedings of the international conference held in Graz, Austria, August 30 to September 5, 1998.. Ed.: F. Halter-Koch, Robert F. Tichy, De Gruyter, Berlin, 153-161, 2000. ISBN: 3110163047

Gaál, I., Kozma, L.: Lineáris algebra.
Kossuth Egyetemi Kiadó, Debrecen, 163 p., 2000.

Brindza, B., Pintér, Á.: On the number of solutions of the equation 1(k)+2(k)+center dot center dot center dot+(x-1)(k)=y(z).
Publ. Math.-Debr. 56 (3/4), 271-277, 2000.

Bovdi, V., Rosa, A.: On the order of the unitary subgroup of a modular group algebra.
Commun. Algebr. 28 (4), 1897-1905, 2000.

Gaál, I.: Solving index form equations in fields of degree nine with cubic subfields.
J. Symb. Comp. 30 (2), 181-193, 2000.

Bódi, B., Erdei, L.: Unitary units in modular group algebras of 2-groups.
Commun. Algebr. 28 (2), 625-630, 2000.

Pintér, Á., Srivastava, H.: Generating functions of the incomplete Fibonacci and Lucas numbers.
Rend. Circ. mat. Palermo. Ser. 2. 48 (3), 591-596, 1999.

Bódi, B., Kurdics, J.: Lie Properties of the Group Algebra and the Nilpotency Class of the Group of Units.
J. Algebra. 212 (1), 28-64, 1999.

Brindza, B., Pintér, Á., Poorten, A., Waldschmidt, M.: On the distribution of solutions of Thue's equation.
In: Number theory in progresses : Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Ed.: by Győry K., Iwaniec H., Urbanowicz J, Walter de Gruyter, Berlin ; New York, 35-46, 1999.

Gaál, I.: Power integral bases in algebraic number fields.
Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 18 61-87, 1999.

Hajdu, L., Pintér, Á.: Square product of three integers in short intervals.
Math. Comput. 68 (227), 1299-1301, 1999.

Győry, K.: Bounds for the solutions of decomposable form equations.
Publ. Math. Debr. 52 (1-2), 1-31, 1998.

Gaál, I.: Computing power integral bases in algebraic number fields.
In: Number theory : diophantine, computational, and algebraic aspects : proceedings of the international conference held in Eger, Hungary, July 29-August 2, 1996 / editors, Kálmán Györy, Attila Pethö, Vera T. Sós, Walter de Gruyter, Berlin ; New York, 243-254, 1998.

Bódi, B.: Generators the group of units of the modular group algebras.
In: Methods in ring theory, Marcel Dekker, New York, 49-62, 1998.

Gaál, I., Kozma, L.: Lineáris algebra.
Kossuth Egyetemi Kiadó, Debrecen, 163 p., 1998.

Brindza, B., Pintér, Á., Turjányi, S.: On equal values of pyramidal and polygonal numbers.
Indag. Math.-New Ser. 9 (2), 183-185, 1998.

Brindza, B., Pintér, Á.: On Kronecker-Győry specialization.
In: Number Theory : Diophantine, Computational and Algebraic Aspects : Proceedings of the Intenational Conference held in Eger, Hungary, July 29 - August 2, 1996. Ed.: by Győry K., Pethő A., Sós V. T, Walter de Gruyter, Berlin ; New York, 107-113, 1998.

Gaál, I.: Power integral bases in composits of number fields.
Can. math. bull. 41 158-161, 1998.

Pintér, Á., Srivastava, H.: Some remarks on generalized elliptic-type integrals.
Integral transforms spec. funct. 7 (1/2), 167-170, 1998.

Bódi, B.: The group of units of a group algebra of characteristic p.
Publ. Math. Debr. 52 (1-2), 193-244, 1998.

Pintér, Á., de Weger, B.: 210 = 14x15 = 5x6x7 = (21 2) = (10 4).
Publ. Math.-Debr. 51 (1-2), 175-189, 1997.

Bódi, B.: Algebra: 1. köt., A csoportelmélet alapjai.
Kossuth Egyetemi Kiadó, Debrecen, 117 p., 1997.

Pintér, Á., Srivastava, H.: A note on the equation 1k+2k+...+(x-1)k=ym.
Indag. Math.-New Ser. 8 (1), 119-123, 1997.

Bérczes, A., Hajdu, L.: Computational experiences on the distances of polynomials to irreducible polynomials.
Math. Comp. 66 (217), 391-398, 1997.

Pintér, Á., Srivastava, H.: Hypergeometric representations of a certain class of recurrence sequences.
Mathematical sciences researc hot-line. 1 (5), 1-7, 1997.

Gaál, I., Kozma, L.: Lineáris algebra és geometria.
Kossuth Lajos Tudományegyetem Matematikai és Informatikai Intézet, [Debrecen], 196 p. ;, 1997.

Brindza, B., Pintér, Á.: On the irreducibility of some polynomials in two variables.
Acta Arith. 82 303-307, 1997.

Gaál, I., Pohst, M.: Power integral bases in a parametric family of totally real cyclic quintics.
Math. Comp. 66 (220), 1689-1696, 1997.

Gaál, I.: Algorithms for the computation of power integral bases in algebraic number fields.
In: International Symposium on Symbolic and Algebraic Computations

Gaál, I.: Application of Thue equations to computing power integral bases in algebraic number fields.
In: Algorithmic Number Theory : Proc. Conf. ANTS II, Talence, France, 1996. Ed.: Henri Cohen, Springer, Berlin, 151-155, 1996, (Lecture notes in computer science ; 1122)

Bódi, B.: Bevezetés a csoportgyűrűk elméletébe.
Kossuth Egyetemi Kiadó, Debrecen, 198 p., 1996.

Lakatos, P.: Characterizations of some classes of quasi-hereditary algebras.
Comptes rendus mathématiques de l'Académie des sciences 18 149-152, 1996.

Gaál, I.: Computing all power integral bases in orders of totally real cyclic sextic number fields.
Math. Comp. 65 801-822, 1996.

Bódi, B., Kurdics, J.: Lie properties of the group algebra and the nilpotency class of the group units.
Department of Mathematics and Informatics Lajos Kossuth University, Debrecen, 28 p., 1996.

Gaál, I., Kozma, L.: Lineáris algebra és geometria I..
Kossuth Lajos Tudományegyetem Matematikai és Informatikai Intézet, Debrecen, 139 p., 1996.

Dömösi, P.: On alpha2-nu3-products of automata.
Publ. math. 48 (3-4), 233-242, 1996.

Brindza, B., Pintér, Á.: On equal values of power sums.
Acta Arith. 77 97-101, 1996.

Brindza, B.: On Large Values of Binary Forms.
Rocky Mt. J. Math. 26 (3), 839-845, 1996.

Brindza, B., Pintér, Á., Végső, J.: On polynomial values of the discriminant of characteristic polynimials.
J. Number Theory. 61 292-300, 1996.

Brindza, B., Pintér, Á.: On positive integer solutions of the equation xy+yz+xz=n.
Can. math. bull. 39 (2), 199-202, 1996.

Bódi, B.: On the group of units in modular group algebras.
An. St. Univ. Ovidius Constanta, Ser. Mat. 4 22-30, 1996.

Bódi, B., Lángi, T.: On the regularity of group algebras.
Arch. math. 32 117-121, 1996.

Gaál, I., Pohst, M.: On the resolution of index form equations in sextic fields with an imaginary quadratic subfield.
J. Symbolic. Comput. 22 (4), 425-434, 1996.

Dömösi, P.: Some results on small context-free grammars generating primitive words.
Universität Hamburg. Fachbereich Informatik, Hamburg, 1996.

Bovdi, V., Kovács, L., Sehgal, S.: Symmetric units in modular group algebras.
Commun. Algebr. 24 (3), 803-808, 1996.

Bódi, B., Erdei, L.: Unitary units in modular group algebras of groups of order 16.
Department of Mathematics and Informatics Lajos Kossuth University, Debrecen, 16 p., 1996.

Bódi, B., Szakács, A.: A basis for the unitary subgroup of the group of units in a finite commutative group algebra.
Publ. Math. Debr. 46 (1-2), 97-120, 1995.

Pintér, Á.: A note on the diophantine equation binom{x}{4}=binom{y}{2}.
Publ. Math.-Debr. 47 (3-4), 411-415, 1995.

Pintér, Á.: A note on the Epstein-Hubbell integral.
Integral transforms spec. funct. 3 301-304, 1995.

Gaál, I.: Computing elements of given index in totally cyclic sextie fields.
J. Symb. Comp. 20 61-69, 1995.

Bódi, B.: Free subgroups of units in modular group algebras.
Kossuth Lajos Tudományegyetem Matematikai és Informatikai Intézete, Debrecen, 7 p., 1995.

Brindza, B., Pintér, Á.: On equal values of binary forms over finitely generated fields.
Publ. Math.-Debr. 46 (3-4), 339-347, 1995.

Bódi, B., Gudivok, P.: On isomorphisms of complex group algebras of finite groups.
Department of Mathematics and Informatics Lajos Kossuth University, Debrecen, 8 p., 1995.

Bódi, B., Lángi, T.: On the regularity of group algebras.
Kossuth Lajos Tudományegyetem Matematikai és Informatikai Intézete, Debrecen, 6 p., 1995.

Brindza, B., Pintér, Á., Végső, J.: The Schinzel-Tijdeman theorem over function fields.
C. R. Math. Rep. Acad. Sci. Canada. 16 53-57, 1994.

Pintér, Á.: A Note on the divisor functions.
Grazer math. Ber. 318 131-135, 1993.

Pintér, Á.: On the number of simple zeros of certain polynomials.
Publ. Math. Debrecen. 42 (3/4), 329-332, 1993.

Gaál, I.: Power integral bases in orders of families of quartic fields.
Publ. Math.-Debr. 42 253-263, 1993.

Pintér, Á.: Exponential diophantine equations over function fields.
Publ. Math. Debrecen. 41 (1/2), 89-98, 1992.

Pintér, Á.: On some arithmetical properties of Stirling numbers.
Publ. Math. Debrecen. 40 (1/2), 91-95, 1992.

Dömösi, P., Kovács, B.: Computation on Networks of Automata.
In: International Colloquium on Words, Languages and Combinatorics

Pintér, Á., Száz, Á.: Elemi módon megoldható Cauchy- és Goursat-feladatok.
Acta Math. Acad. Paedagog. Nyíregyh. 12/d 61-71, 1990.

Gaál, I.: On the computer resolution of index form equations.
In: Proceedings of the Regional Mathematical Conference, Kalsk, September 1988. : Section, algebra and number theory / editor Aleksander Grytczuk, Pedagogical University of Zielona Góra, Zielona Góra, 21-27, 1990.

Dömösi, P., Ésik, Z.: Product hierarchies of automata and homomorphic simulation.
Acta Cybern. (Bratisl.). 1990.

Dömösi, P., Kovács, B.: Simulation on finite networks of automata.
In: Conf. on Words, Languages and Combinatorics, Kyoto, 28-31 Aug. 1990

Dömösi, P.: Automaták sorozatcsaládjának összehasonlító vizsgálata.
Alkalm. mat. l. 14 (3-4), 233-298, 1989.

Schulte, N., Gaál, I.: Computing all power integral bases of Cubic fields..
Math. Comp. 53 689-696, 1989.

Búzási, K., Krausz, T.: Description of crossed group algebras over finite fields.
Acta Sci. Math. 52 291-302, 1988.

Gaál, I.: Integral elements with given discriminant over function fields.
Acta Math. Hung. 52 (1-2), 133-146, 1988.

Gaál, I.: On the resolution of inhomogeneous norm form equations in two dominating variables.
Math. Comp. 51 359-373, 1988.

Búzási, K.: On the structure of a real crossed group algebra.
Bull. Austral. Math Soc. 38 82-40, 1988.

Brindza, B.: Some new applications of an inequality of Mason.
In: New Advances in Transcendence Theory. : Proceedings of Symposium on Transcendental Number Theory, held under the auspices of the London Mathematical Society at the University of Durham in July, 1986 / edited by Alan Baker, Cambridge University Press, Cambridge, 82-89, 1988

Schulenberg, R., Pethő, A.: Effektives Losen von Thue Gleichungen.
Publ. Math. Debrecen. 34 189-196, 1987.

Gaál, I.: Inhomogeneous discriminant form equations and integral elements with given discriminant over finitely generated integral domains.
Publ. Math.-Debr. 34 109-122, 1987.

Gaál, I., Brindza, B.: Inhomogeneous norm form equations in two dominating variables over function fields.
Publ. Math.-Debr. 50 147-153, 1987.

Pethő, A.: On the resolution of thue inequalities.
J. Symb. Comput. 4 (1), 103-109, 1987.

Bundschuh, P., Pethő, A.: Zur Transzendenz gewisser Reihen.
Monatsh. Math. 104 (3), 199-223, 1987.

Dömösi, P.: Bevezetés az algoritmusok és automaták elméletébe: számítástechnikai tanári kiegészítő szak : levelező tagozat.
KLTE, Debrecen, 44 p., 1986.

Pethő, A., Buchmann, J.: Computation of independent units in number field by Dirichlet's method.
Lecture notes in comput. sci. 229 302-305, 1986.

Krausz, T.: Description of E-type algebras.
Lect. Notes Math. 1352 21-25, 1986.

Gaál, I.: Inhomogeneous discriminant form and index form equations and their applications.
Publ. Math.-Debr. 33 21-27, 1986.

Gaál, I.: Inhomogenous discriminant form and index form equations anf their applications.
Publ. Math.-Debr. 33 21-27, 1986.

Búzási, K., Krausz, T.: On crossed group algebras over finite fields.
Publ. Math.-Debr. 33 147-152, 1986.

Pethő, A.: On the diophantine equation Gn=pz.
Lecture notes in comput. sci. 204 503-512, 1986.

Pethő, A.: On the Solution of the Equation G_n = P(x).
In: Fibonacci Numbers and Their Applications. Patras, Görögország, 1984.08.27-1984.08.31.. Ed.: Philippou, A. N., Bergum, G. E., Horadam, A. F, Reidel Publishing, Dordrecht, 193-201, 1986. ISBN: 902772234X

Pethő, A., de Weger, B.: Product of prime powers in binary recurrence sequences I.: the hyperbolic case, with an applicationt to the generalized Ramanujan-Nagell equation.
Math. Comp. 47 (176), 713-727, 1986.

Búzási, K.: Ismertetés: Finite groups.
Publicationes Mathematicae 31 278-279, 1985.
(Ismertetett mű: B. Huppert, N. Blackburn. -Finite groups vol.3. /Berlin ; New York : Springer-Verlag, 1982-. -VIII, 454 p. -)

Búzási, K., Búzási, K.: On an algebraic coding theory problem.
In: International Conference on Applied Discrete Mathematics : Debrecen, September 10-13, 1984 : program, abstracts / [org. Egyetem, Matematikai Tanszék], [Egyetem, Matematikai Tanszék], Debrecen, 19-20, [1984].

Búzási, K., Búzási, K.: On a problem of /p,p ... ,p/-group codes.
In: The sixth international symposium on information theory : abstracts of papers, [s.n.], Moscow-Tashkent, 198-199, 1984.

Pethő, A., Buchberger, B.: On the Diophantine Equation G_n = p^z.
In: EUROCAL '85. Linz, Ausztria, 1985.04.01-1985.04.03.. Szerk.: Buchberger, B, Springer, Berlin, 503-512, 1985.

Berman, S., Búzási, K.: On the structure of cross group algebras over the real field.
In: ICGT : International Colloquium on Group Theory : to the Memory of Tibor Szele (1918-1955) : 16-20 September 1985, Debrecen : short communications (abstracts), Kossuth Lajos Tudományegyetem, Debrecen, 2-3, 1985.

Berman, S., Búzási, K.: Opisanie vseh konečnomernyh veŝestvennyh predstavlenij grupp, soderžaŝih beskonečnuû cikličeskuû podgruppu konečnogo indeksa.
Publ. Math. Debr. 31 (1-2), 133-144, 1985.

Búzási, K.: O veŝestvennyh gruppovyh algebrah grupp s beslonečnoj cikličeskoj podgruppoj konečnogo indeksa.
Publ. Math. Debr. 32 (3-4), 267-276, 1985.

Brindza, B., Győry, K., Tijdeman, R.: The Fermat equation with polynomial values as base variables.
Invent. Math. 80 (1), 139-151, 1985.

Pethő, A.: Perfect powers in second order recurrences.
In: Topics in Classical Number Theory, I-II.. Ed.: by G. Halász, Janos Bolyai Mathematical Society, Budapest ; Amsterdam, 1217-1227, 1984.

Pethő, A., Nemes, I.: Polynomial values in linear recurrences I..
Publ. Math. Debrecen. 31 229-233, 1984.

Pethő, A., Kovács, B.: Canonical Systems in the Ring of Integers.
Publ. Math. Debrecen. 30 39-45, 1983.

Pethő, A.: Full Cubes in the Fibonacci Sequences.
Publ. Math. Debrecen. 30 117-127, 1983.

Pethő, A., Lakatos, P.: Ábel féle kódok egy osztályának a vizsgálata számítógép felhasználásával.
Közl. MTA SZTAKI. 25 73-91, 1982.

Búzási, K., Lakatos, P., Pethő, A.: Csoportkódok egy osztályának kódtávolságáról.
Probl. Pered. Inf. 17 3-12, 1982.

Reményi, G., Pethő, A.: On a Method for Establishing the Minimum Distance of Abelian Codes.
Probl. Control. Inf. Theor. 11 97-105, 1982.

Pethő, A.: Perfect powers in second order linear recurrences.
J. Number Theory. 15 (1), 5-13, 1982.

Pethő, A.: Simple continued fractions for the Fredholm numbers.
J. Number Theory. 14 (2), 232-236, 1982.

Pethő, A.: Über die Verteilung der Lösungen von S-Normformen Gleichungen.
Publ. Math. Debrecen. 29 1-17, 1982.

Pethő, A.: Diophantische Approximationen mit naturlichen Zahlen.
Publ. Math. Debrecen. 27 131-137, 1980.

Pethő, A.: Über die nichtlineare Diophantische Approximation von quadratischen, algebraischen Zahlen.
J. Number Theory. 12 (3), 334-338, 1980.

Pethő, A.: Über die Darstellung rationalen Zahlen durch zerlegbare Formen.
Publ. Math. Debrecen. 21 31-38, 1974.