Tudóstér: OTKA-100339 publikációi

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

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

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

Pethő, A., Varga, P.: Canonical number systems over imaginary quadratic Euclidean domains.
Colloq. Math. 146 (2), 165-186, 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

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.

Komornik, V., Pedicini, M., Pethő, A.: Multiple common expansions in non-integer bases.
Acta Sci. Math. 83 (1-2), 51-60, 2017.

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

Pethő, A., Pohst, M., Bertók, C.: On multidimensional Diophantine approximation of algebraic numbers.
J. Number Theory. 171 422-448, 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.

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

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.

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., 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.

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.

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.

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.

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.: 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.

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.

Komornik, V., Pethő, A.: Common expansions in noninteger bases.
Publ. Math. Debr. 85 (3-4), 489-501, 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.

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.

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.
. 22 (1), 51-71, 2014.

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.

Akiyama, S., Pethő, A.: On the distribution of polynomials with bounded roots I. Polynomials with real coefficients.
J. Math. Soc. Jpn. 66 (3), 927-949, 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.

Akiyama, S., Steiner, W., Brunotte, H., Pethő, A., Thuswaldner, J.: Problems and conjectures around shift radix systems.
Open Probl. Math. 2 1-5, 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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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

Bazsó, A., Kreso, D., Luca, F., Pintér, Á.: On equal values of power sums of arithmetic progressions.
Glas. Mat. 47 (2), 253-263, 2012.

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

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

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.