Tudóstér: Pethő Attila publikációi

Győry, K., Pethő, A., Szalay, L.: Decomposable Forms Generated by Linear Recurrences.
J. Integer Seq. 27 (3), 1-19, 2024.

Hannusch, C., Pethő, A.: Rotation on the digital plane.
Period. Math. Hung. 86 (2), 564-577, 2023.

Pethő, A., Szalay, L.: Upper bound on the solution to F(2k)n=+F(2k)m with negative subscripts.
Rev. Colombiana Mat. 56 (2), 179-187, 2023.

Pethő, A.: Common values of a class of linear recurrences.
Indag. Math.-New Ser. 33 (6), 1172-1188, 2022.

Luca, F., Pethő, A., Szalay, L.: Duplications in the k-generalized Fibonacci sequences.
New York J. Math. 27 1115-1133, 2021.

Vécsi, Á., Pethő, A.: Formal Language Identity-based Cryptography.
Rad HAZU Mat. Znan. 25 143-159, 2021.

Pethő, A.: On diophantine properties of radix representation in algebraic number fields.
In: Lie Groups, Number Theory, and Vertex Algebras / Dražen Adamović; Andrej Dujella; Antun Milas; Pandžić Pavle, American Mathematical Society, Providence, 133-148, 2021, (Contemporary Mathematics, ISSN 0271-4132) ISBN: 9781470453510

Pethő, A.: On k-generalized Fibonacci numbers with negative indices.
Publ. Math. Debr. 98 (3-4), 401-418, 2021.

Vécsi, Á., Bagossy, A., Pethő, A.: Cross-platform Identity-based Cryptography using WebAssembly.
Infocommun. J. 11 (4), 31-38, 2019.

Evertse, J., Győry, K., Pethő, A., Thuswaldner, J.: Number systems over general orders.
Acta Math. Hung. 159 (1), 187-205, 2019.

Pethő, A., Thuswaldner, J., Weitzer, M.: The Finiteness Property for Shift Radix Systems With General Parameters.
Integers: Electronic Journal Of Combinatorial Number Theory 19 (-), 1-20, 2019.

Pethő, A., Thuswaldner, J.: Number systems over orders.
Monatsh. Math. 187 (4), 681-704, 2018.

Pethő, A., Varga, P.: Canonical number systems over imaginary quadratic Euclidean domains.
Colloq. Math. 146 (2), 165-186, 2017.

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

Pethő, A., Pohst, M., Bertók, C.: On multidimensional Diophantine approximation of algebraic numbers.
J. Number Theory. 171 422-448, 2017.

Akiyama, S., Evertse, J., Pethő, A.: On nearly linear recurrence sequences.
In: Number Theory : Diophantine Problems, Uniform Distribution and Applications. Eds.: Christian Elsholtz, Peter Grabner, Springer, Switzerland, 1-21, 2017. ISBN: 9783319553566

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

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

Pethő, A., Varga, P., Weitzer, M.: On shift radix systems over imaginary quadratic Euclidean domains.
Acta Cybern. 22 (2), 485-498, 2015.

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.

Komornik, V., Pethő, A.: Common expansions in noninteger bases.
Publ. Math. Debr. 85 (3-4), 489-501, 2014.

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

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.

Akiyama, S., Pethő, A.: On the distribution of polynomials with bounded roots II. Polynomials with integer coefficients.
Unif. Distrib. Theory. 9 (1), 5-19, 2014.

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

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

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

Akiyama, S., Pethő, A.: Discretized rotation has infinitely many periodic orbits.
Nonlinearity. 26 (3), 871-880, 2013.

Csernusné Ádámkó, É., Pethő, A.: Location-stamp for GPS coordinates.
Acta Univ. Sap., Inf. 5 (1), 63-76, 2013.

Hirata-Kohno, N., Pethő, A.: On a key exchange protocol based on Diophantine equations.
Infocommun. j. 5 (3), 17 - 21, 2013.

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]

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

Csernusné Ádámkó, É., Pethő, A.: "Helyszín-bélyegzés", hitelesített GPS koordináták.
In: Az elmélet és gyakorlat találkozása a térinformatikában II. : Térinformatikai Konferencia és Szakkiállítás Debrecen 2011. Szerk.: Lóki József, Debreceni Egyetem, Debrecen, 381-387, 2011. ISBN: 9789633181164

Madritsch, M., Pethő, A.: Asymptotic normality of additive functions on polynomial sequences in canonical number systems.
J. Number Theory. 131 (9), 1553-1574, 2011.

Pethő, A., Ziegler, V.: On biquadratic fields that admit unit power integral basis.
Acta Math. Hung. 133 (3), 221-241, 2011.

Fuchs, C., Pethő, A.: On composite rational functions having a bounded number of zeros and poles.
Proc. Amer. Math. Soc. 139 31-38, 2011.

Aszalós, L., Bátfai, N., Csirmaz, L., Folláth, J., Hajduné Pocsai, E., Herendi, T., Kovács, T., Matolcsy, Z., Pethő, A., Varga, P.: Secure utilization of local and regional data assets through mobile environments.
In: Proceedings of The 8th International Conference on Applied Informatics : Eger, Hungary, January 27 - 30, 2010. Ed.: Attila Egri-Nagy [et al.], [Eszterházy Károly Főiskola], [Eger], 265-272, [2011]. ISBN: 9789639894723

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.

Huszti, A., Pethő, A.: A secure electronic exam system.
Publ. Math., Debrecen. 77 (3-4), 299-312, 2010.

Pethő, A.: Fifteen problems in number theory.
Acta Univ. Sap., Math. 2 (1), 72-83, 2010.

Kirschenhofer, P., Pethő, A., Surer, P., Thuswaldner, J.: Finite and periodic orbits of shift radix systems.
J. Theor. Nr. Bordx. 22 421-448, 2010.

Folláth, J., Huszti, A., Pethő, A.: Informatikai biztonság és kriptográfia.
Kempelen Farkas Digitális Tankönyvtár, Debrecen, 237 p., 2010.

Folláth, J., Huszti, A., Pethő, A.: Informatikai biztonság és kriptográfia.
DE IK, Debrecen, 237 p., 2010.

Bérczes, A., Folláth, J., Pethő, A.: On a family of preimage-resistant functions.
Tatra Mt. Math. Publ. 47 1-13, 2010.

Pethő, A.: On the boundary of the closure of the set of contractive polynomials.
Integers. 9 311-325, 2009.

Huszti, A., Pethő, A.: A secure electronic exam system.
In: Informatika a felsőoktatásban 2008. Konferencia. [elektronikus dokumentum]. Szerk.: Pethő Attila, Herdon Miklós, Debreceni Egyetem Informatikai Kar, Debrecen, , 2008.

Akiyama, S., Brunotte, H., Pethő, A., Thuswaldner, J.: Generalized radix representations and dynamical systems III..
Osaka j. math. 45 (2), 347-374, 2008.

Akiyama, S., Brunotte, H., Pethő, A., Thuswaldner, J.: Generalized radix representations and dynamical systems IV..
Indagat. Math. New. Ser. 19 (3), 333-348, 2008.

Pethő, A., Herdon, M.: Informatika a felsőoktatásban 2008: konferencia kiadvány : Előadás-összefoglalók és teljes előadást tartalmazó CD-melléklet.
Debreceni Egyetem Informatikai Kar, Debrecen, 227 p., 2008. ISBN: 9789634731290

Kirschenhofer, P., Pethő, A., Thuswaldner, J.: On a family of three term nonlinear integer recurrences.
Int. J. Number. Theory. 4 (1), 135-146, 2008.

Dujella, A., Pethő, A., Tadic, P.: On arithmetic progressions on Pellian equations.
Acta Math. Hung. 120 ((1-2)), 29-38, 2008.

Tichy, R., Fuchs, C., Pethő, A., Schlickewei, H., Schmidt, K.: On the diophantine equation Gn(x)=Gm(y) with Q(x,y)=0.
In: Diophantine Approximations, Springer, Wien-New York, 199-209, 2008.

Akiyama, S., Brunotte, H., Pethő, A., Steiner, W.: Periodicity of certain piecewise affine planar maps.
Tsukuba j. math. 32 (1), 197-251, 2008.

Pethő, A., Ziegler, V.: Arithmetic progressions on Pell equations.
J. Number Theory. 128 (6), 1389-1409, 2007.

Folláth, J., Huszti, A., Pethő, A.: Designin asymmetric authentication system.
In: Proceedings of the 7th International Conference on Applied Informatics, Eger, Hungary, January 28-31, 2007.. Szerk.: Emőd Kovács, Péter Olajos, Tibor Tómács, BVB Nyomda és Kiadó, Eger, 55-63, 2007.

Akiyama, S., Brunotte, H., Pethő, A.: Reducible cubic CNS polynomials.
Period Math. Hung. 55 (2), 177-183, 2007.

Pethő, A., Brunotte, H., Huszti, A.: Bases of canonical number systems in quartic algebraic number fields.
J. Theor. Nr. Bordx. 18 537-557, 2006.

Akiyama, S., Borbély, T., Brunotte, H., Pethő, A., Thuswaldner, J.: Basic properties of shift radix systems.
Acta Math. Acad. Paedag. Nyíregyh. 22 19-25, 2006.

Bérczes, A., Pethő, A.: Computational experiences on norm form equations with solutions forming arithmetic progressions.
Glas. Mat. 41 (1), 1-8, 2006.

Akiyama, S., Brunotte, H., Pethő, A., Thuswaldner, J.: Generalized radix representations and dynamical systems II..
Acta Arith. 121 21-61, 2006.

Pethő, A.: Notes on CNS polynomials and integral interpolation.
In: More sets, graphs and numbers / Ervin Győri, Gyula O. H. Katona, László Lovász (eds.), Springer ; Budapest : Springer Verlag - Janos Bolyai Mathematical Society, Berlin ; New York, 301-315, 2006.

Pethő, A., Bérczes, A., Ziegler, V.: Parameterized norm form equations with arithmetic progressions.
J. Symb. Comp. 41 (7), 790-810, 2006.

Akiyama, S., Brunotte, H., Pethő, A., Steiner, W.: Remarks on a conjecture on certain integer sequences.
Period Math. Hung. 52 (1), 1-17, 2006.

Barat, G., Frougny, C., Pethő, A.: A Note on linear recurrent Mahler numbers.
Integers: Electr. J. Comb. Numb. Theory. 5 (3), 17, 2005.

Pethő, A., Fuchs, C.: Effective bounds for the zeros of linear recurrences in function fields.
J. Theor. Nr. Bordx. 17 749-766, 2005.

Akiyama, S., Borbély, T., Brunotte, H., Pethő, A., Thuswaldner, J.: Generalized radix representations and dynamical systems I..
Acta Math. Hung. 108 (3), 207-238, 2005.

Pethő, A., Herdon, M.: Informatika a felsőoktatásban 2005: konferencia kiadvány : Debrecen, 2005 augusztus 24-26. : Előadás-összefoglalók és teljes előadást tartalmazó CD-melléklet.
Debreceni Egyetem Informatikai Kar, Debrecen, 288 p., 2005. ISBN: 9634729096

Gyarmati, K., Sárközy, A., Pethő, A.: On linear recursion and pseudorandomness.
Acta Arith. 118 (4), 359-374, 2005.

Bérczes, A., Ködmön, J., Pethő, A.: A one-way function based on norm form equations.
Period. Math. Hung. 49 (1), 1-13, 2004.

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

Pethő, A.: Connections between power integral bases and radix representations in algebraic number fields.
In: Yokoi-Chowla Conjecture and Related Problems: Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems. Nagoya, Japán, 2003.10.17-2003.10.19.. Szerk.: Levesque, C., Katayama, S. I., Nakahara, T, Saga University Faculty of Science and Engineering, Saga, 115-125, 2004.

Pethő, A., Herrmann, E., Járási, I.: Note on J.H.E. Cohn's paper "The Diophantine equation xn=Dy2+1".
Acta Arith. 113 69-76, 2004.

Thuswaldner, J., Brunotte, H., Borbély, T., Akiyama, S., Pethő, A.: On a generalization of the radix representation: a survey.
In: High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Banff, Kanada, 2003.05.. Szerk.: van der Poorten, A. J., Stein, A, American Mathematical Society, Providence, 19-27, 2004.

Bérczes, A., Pethő, A.: On norm form equations with solutions forming arithmetic progressions.
Publ. Math. Debrecen. 65 281-290, 2004.

Akiyama, S., Brunotte, H., Pethő, A.: Cubic CNS polynomials, notes on a conjecture of W. J. Gilbert.
J. Math. Anal. Appl. 281 (1), 402-415, 2003.

Pethő, A.: Egy negyedrendű rekurzív sorozatcsaládról.
Acta Acad. Paed. Agr. Sect. Math. 30 115-122, 2003.

Fuchs, C., Pethő, A., Tichy, R.: On the Diophantine equation Gn(x)=Gm(P(x)): higher order linear recurrences.
Trans. Amer. Math. Soc. 355 4657-4681, 2003.

Komornik, V., Loretti, P., Pethő, A.: The smallest univoque number is not isolated.
Publ. Math. Debrecen. 62 (3-4), 429-435, 2003.

Pethő, A., Schmitt, S.: Elements with bounded height in number fields.
Period. Math. Hung. 43 (1), 31-41, 2002.

Akiyama, S., Pethő, A.: On canonical number systems.
Theor. Comput. Sci. 270 (1-2), 921-933, 2002.

Fuchs, C., Pethő, A., Tichy, R.: On the diophantine equation Gn(x) = Gm(P(x)).
Monatsh. Math. 137 (3), 173-196, 2002.

Heuberger, C., Pethő, A., Tichy, R.: Thomas' family of Thue equations over imaginary quadratic fields.
J. Symb. Comput. 34 (5), 437-449, 2002.

Pethő, A.: Diophantine properties of linear recursive sequences II..
Acta Math. Acad. Paedag. Nyiregyh. 17 (2), 81-96, 2001.

Pethő, A.: Index form surfaces and construction of elliptic curves over large finite fields.
In: Public-key cryptography and computational number theory : Proceedings of the International Conference organized by the Stefan Banach International Mathematical Center : Warsaw, Poland, September 11-15, 2000. Ed.: Kazimier Alster, Jerzy Urbanowicz, Hugh C. Williams, Walter de Gruyter, Berlin ; New York, 239-247, 2001, (De Gruyter Proceedings in Mathematics) ISBN: 3110170469

Herrmann, E., Pethő, A.: S-integer points on elliptic curves: notes on a paper of B. M. M. de Weger.
J. Theor. Nr. Bordx. 13 (2), 443-451, 2001.

Fazekas, A., Pethő, A., Kertész, G., Dévai, G., Szabó, L.: Informatikai eszközök alkalmazása az ökológiai szemléletű természet- és környezetminősítésben.
Acta biol. Debr., Suppl. oecol. Hung. 11 (1), 60, 2000.

Dujella, A., Pethő, A.: Integer points on a family of elliptic curves.
Publ. Math. Debrecen. 56 (3-), 321-335, 2000.

Pethő, A., Zimmer, H.: S-integer points on elliptic curves, theory and practice.
In: Algebraic Number Theory And Diophantine Analysis : Proceedings of the International Conference held in Graz, Austria August 30 to September 5, 1998 . Ed.: Franz Halter-Koch, Robert F. Tichy, Walter de Gruyter, Berlin ; New York, 351-364, 2000, (De Gruyter Proceedings in Mathematics) ISBN: 3110163047

Pethő, A., Pohst, M.: Algebraische Algorithmen.
Vieweg, Braunschweig ;, ix, 234 p., 1999. ISBN: 3528065982

Pethő, A., Zimmer, H., Gebel, J., Herrmann, E.: Computing all S-integral points on elliptic curves.
Math. Proc. Cambridge. Phil. Soc. 127 383-402, 1999.

Tichy, R., Kirschenhofer, P., Pethő, A.: On analytical and diophantine properties of a family of counting functions.
Acta Sci. Math. (Szeged). 65 47-59, 1999.

Herrmann, E., Pethő, A., Zimmer, H.: On Fermat's quadruple equations.
Abh. Math. Semin. Univ. Hamburg. 69 (1), 283-291, 1999.

Demetrovics, J., Pethő, A., Rónyai, L.: On plus-minus 1-representations of integers.
Acta Cybern. (Bratisl.). 14 (1), 27-36, 1999.

Mignotte, M., Pethő, A.: On the diophantine equation xp-x=yq-y.
Publ. Mat. 43 207-216, 1999.

Pethő, A.: On the periodic expansion of algebraic numbers.
Ann. Univ. Sci. Bp. R. Eotvos. Nom. Sect. Comp. 18 167-174, 1999.

Lettl, G., Pethő, A., Voutier, P.: Simple families of Thue inequalities.
Trans. Am. Math. Soc. 351 (5), 1871-1894, 1999.

Halter-Koch, F., Lettl, G., Pethő, A., Tichy, R.: Thue Equations associated with Ankeny-Brauer-Chowla Number Fields.
J. Lond. Math. Soc. 60 (1), 1-20, 1999.

Heuberger, C., Pethő, A., Tichy, R.: Complete solution of parametrized Thue equations.
Acta Math. Inform. Univ. Ostrav. 6 (1), 93-113, 1998.

Pethő, A.: Diophantine properties of linear recurrence sequences I..
In: Applications of Fibonacci numbers. Vol.7: Proceedings of 'The Seventh International Research Conference on Fibonacci Numbers and Their Applications'. Graz, Ausztria, 1996.07.15-1996.07.19.. Ed.: Bergum, G. E., Philippou, A. N., Horadam, A. F, Kluwer Academic Publishers, Dordrecht ; London, 295-309, 1998.

Dujella, A., Pethő, A.: Generalization of a theorem of Baker and Davenport.
Q. J. Math. 49 291-306, 1998.

Győry, K., Pethő, A., T. Sós, V.: Number theory: diophantine, computational, and algebraic aspects : proceedings of the international conference held in Eger, Hungary, July 29-August 2, 1996.
Walter de Gruyter, Berlin ;, XVII, 595 p., 1998. ISBN: 3110153645

Pethő, A., Zimmer, H.: On a system of norm equations over cyclic cubic number fields.
Publ. Math. Debrecen. 53 317-332, 1998.

Gebel, J., Pethő, A., Zimmer, H.: On Mordell's equation.
Compos. Math. 110 335-367, 1998.

Voutier, P., Lettl, G., Pethő, A.: On the arithmetic of simplest sextic fields and related Thue equations.
In: Number theory: diophantine, computational and algebraic aspects: Proceedings of the international conference. Eger, Magyarország, 1996.07.29-1996.08.02.. Szerk.: Győry K., Pethő A., T. Sós V, Walter de Gruyter, Berlin ; New York, 331-348, 1998.

Pethő, A., Tichy, R.: On two-parametric quartic families of diophantine problems.
J. Symb. Comp. 26 (2), 151-171, 1998.

Zimmer, H., Pethő, A., Herrmann, E.: S-integral points on elliptic curves and Fermat's triple equations.
In: Algorithmic Number Theory: Third international symposium, ANTS-III. Portland, Egyesült Államok, 1998.06.21-1998.06.25.. Ed.: Buhler, J. P, Springer-Verlag, Berlin, 528-540, 1998.

Pethő, A., Nakamula, K.: Squares in Binary Recurrence Sequences.
In: Number theory: diophantine, computational and algebraic aspects: Proceedings of the international conference. Eger, Magyarország, 1996.07.29-1996.08.02.. Ed.: Győry K., Pethő A., T. Sós V, Walter de Gruyter, Berlin ; New York, 409-421, 1998.

Gebel, J., Pethő, A., Zimmer, H.: Computing integral points on Mordell's elliptic curves.
Coll. Math. 48 (1-2), 115-136, 1997.

Pethő, A., Weiss, T., Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over general cubic number fields.
Int. J. Algebr. Comput. 7 (3), 353-413, 1997.

Kuba, A., Fazekas, A., Palágyi, K., Nagy, A., Nyúl, L., Pethő, A.: A többdimenziós képfeldolgozás programjai és oktatásuk.
In: Informatika a felsőoktatásban '96 ; Networkshop '96, Debrecen, 1996. aug. 27-30, Debreceni Universitas, Debrecen, 649-656, 1996.

Pethő, A., Mignotte, M.: Az an+bn=z3 diofantoszi egyenletről.
Acta Acad. Paed. Agr. Sect. Math. 45-53, 1996.

Mignotte, M., Pethő, A., Roth, R.: Complete solutions of a family of quartic Thue and index form equations.
Math. Comput. 65 (213), 341-354, 1996.

Mignotte, M., Roth, R., Pethő, A.: Complete solutions of a family of quartic Thue and index from equations.
Math. Comp. 65 (213), 341-354, 1996.

Zimmer, H., Gebel, J., Pethő, A., Cohen, H.: Computing S-integral points on elliptic curves.
In: Algorithmic Number Theory: 2nd international symposium, ANTS-II. Talence, Franciaország, 1996.05.18-1996.05.23.. Szerk.: Cohen, H, Springer-Verlag, Berlin, 115-136, 1996.

Mignotte, M., Pethő, A., Lemmermeyer, F.: On the family of Thue equations x3-(n-1)x2y-(n+2)xy2-y3 = k.
Acta Arith. 76 (3), 245-269, 1996.

Grabner, P., Tichy, R., Nemes, I., Pethő, A.: On the least significant digit of Zeckendorf expansions.
Fibonacci Q. 34 147-151, 1996.

Gaál, I., Pethő, A., Pohst, M.: Simultaneous representation of integers by a pair of ternary quadratic forms: with an application to index form equations in quartic number fields.
J. Number Theory. 57 (1), 90-104, 1996.

Lettl, G., Pethő, A.: Complete solution of a family of quartic Thue equations.
Abh. Math. Semin. Univ. Hamburg. 65 (1), 365-383, 1995.

Sali, A., Karsai, J., Győri, I., Pethő, A.: Developments of computational methods and networking in medical institutions in Hungary.
In: Computational medicine, public health, and biotechnology, Vol. 3.: building a man in the machine. Austin, Egyesült Államok, 1994.04.24-1994.04.28.. Ed.: M. Witten, World Scientific, Singapore, 1545-1562, 1995.

Hadházi, A., Fazekasné Kis, M., Pethő, A., Fehértói, J.: Hogyan fejlődik a DOTE számítógépes információs rendszere?.
LAM. 5 815-819, 1995.

Gaál, I., Pethő, A., Pohst, M.: On the resolution of index form equations in biquadratic number-fields III.: the bicyclic biquadratic case.
J. Number Theory. 53 (1), 100-114, 1995.

Pethő, A., Mignotte, M.: On the system of diophantine equations x2-6y2=-5 and x=2z2-1.
Math. Scand. 76 50-60, 1995.

Lemmermeyer, F., Pethő, A.: Simplest cubic fields.
Manuscripta Math. 88 (1), 53-58, 1995.

Grabner, P., Pethő, A., Tichy, R., Woeginger, G.: Associativity of recurrence multiplication.
Appl. Math. Lett. 7 (4), 85-90, 1994.

Gebel, J., Pethő, A., Zimmer, H.: Computing integral points on elliptic curves.
Acta Arith. 68 (2), 171-192, 1994.

Tichy, R., Nemes, I., Grabner, P., Pethő, A.: Generalized Zeckendorf Expansions.
Appl. Math. Lett. 7 (1), 25-28, 1994.

Pethő, A., Fazekasné Kis, M.: Integrált egészségügyi és gazdasági információs rendszerek értekelésének fontosabb szempontjai a Debreceni Orvostudományi Egyetemen.
Egeszségügyi Gazd. Szle. 32 560-568, 1994.

Gaál, I., Pethő, A., Pohst, M.: On the resolution of index form equations in dihedral quartic number fields.
Exp. Math. 3 245-254, 1994.

Gaál, I., Pethő, A., Pohst, M.: On the resolution of index form equations in dihedral quartic number fields IV..
Exp. Math. 3 (3), 245-254, 1994.

Herendi, T., Pethő, A.: Trinomials, Which are Divisible by Quadratic Polynomials.
Acta Acad. Paed. Agr. Sect. Math. 22 61-73, 1994.

Pethő, A., Kovács, B.: On a representation of algebraic integers.
Stud. Sci. Math. Hung. 27 169-172, 1993.

Gaál, I., Pethő, A., Pohst, M.: On the resolution of index form equations in quartic number fields.
J. Symb. Comp. 16 (6), 563-584, 1993.

Pethő, A., Tichy, R.: S-Unit equations, linear recurrences and digit expansions.
Publ. Math. Debrecen. 42 145-154, 1993.

Mignotte, M., Pethő, A.: Sur les carres dans certaines suites de Lucas.
J. Theor. Nr. Bordx. 5 (2), 333-341, 1993.

Pethő, A.: Über kubische Ausnahmeeinheiten.
Arch. Math. 60 (2), 146-153, 1993.

Pethő, A.: Systems of norm equations over cubic number fields.
Grazer math. Ber. 318 111-120, 1992.

Pethő, A.: The Pell sequence contains only trivial perfect powers.
In: Sets, graphs and numbers: A birthday salute to Vera T. Sós and András Hajnal. Szerk.: Halász G., Lovász L., Miklós D., Szőnyi T, North-Holland Publishing Company - Budapest : BJMT, Amsterdam, 561-568, 1992.

Pethő, A., Watt, S.: Application of Gröbner bases to the resolution of systems of normequations.
In: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation: ISSAC '91. Bonn, Németország, 1991.07.15-1991.07.17.. Szerk.: Watt, S. M, ACM Press, New York, 144-150, 1991.

Pethő, A.: Complete solutions to a family of quartic diophantine equations.
Math. Comp. 57 777-798, 1991.

Pethő, A.: Complexity investigations on decomposable form equations.
Publ. Math. Debrecen. 39 163-169, 1991.

Kovács, B., Pethő, A.: Number systems in integral domains, especially in orders of algebraic number fields.
Acta Sci. Math. (Szeged). 55 (3-4), 287-299, 1991.

Pethő, A.: On a polynomial transformation and its application to the construction of a public key cryptosystem.
In: Computational Number Theory: Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University. Debrecen, Magyarország, 1989.09.04-1989.09.09.. Szerk.: Zimmer, H. G., Pethő, A., Pohst, M., Williams, H. C, Walter de Gruyter, Berlin, 31-44, 1991.

Győry, K., Pethő, A.: On second order linear divisibility sequences over algebraic number fields.
Publ. Math. Debr. 39 (1-2), 171-179, 1991.

Gaál, I., Pethő, A., Pohst, M.: On the indices of biquadratic number fields having Galois group V4.
Arch. Math. 57 (4), 357-361, 1991.

Pohst, M., Gaál, I., Pethő, A.: On the resolution of index form equations.
In: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation: ISSAC '91. Bonn, Németország, 1991.07.15-1991.07.17.. Szerk.: Watt, S. M, ACM Press, New York, 185-186, 1991.

Gaál, I., Pethő, A., Pohst, M.: On the resolution of index form equations in biquadratic number fields I..
J. Number Theory. 38 (1), 18-34, 1991.

Gaál, I., Pethő, A., Pohst, M.: On the resolution of index form equations in biquadratic number fields II..
J. Number Theory. 38 (1), 35-51, 1991.

Bezivin, J., Pethő, A., Poorten, A.: A full characterization of divisibility sequences.
Am. Journ. Math. 112 (2), 985-1001, 1990.

Pethő, A.: Divisibility properties of linear recursive sequences.
In: Number Theory. Budapest, Magyarország, 1987.07.20-1987.07.25.. Szerk.: Győry K., Halász G, North-Holland Publishing Company - BJMT, Amsterdam ; Budapest, 899-915, 1990.

Pethő, A., Zimmer, H.: Lineare rekurrente Folgen auf elliptische Kurven.
Semin. Theor. Nr. (Bordeaux). 2 217-227, 1990.

Pethő, A.: On the greatest prime factor and divisibility properties of linear recursive sequences.
Indagat. Math. New Ser. 1 (1), 85-93, 1990.

Buchmann, J., Pethő, A.: Computation of Independent Units in Number Fields by Dirichlet's Method.
Math. Comp. 52 149-159, 1989.

Pethő, A., Tichy, R.: On digit expansions with respect to linear recurrences.
J. Numb. Theory. 33 (2), 243-256, 1989.

Pethő, A.: On the representation of 1 by binary cubic forms with positive discriminant.
Lect. Notes Math. 1380 185-196, 1989.

Pethő, A.: Computational methods for the resolution of diophantine equations.
In: Number theory: Proceedings of the First Conference of the Canadian Number Theory Association. Alberta, Kanada, 1988.03.17-1988.03.27.. Szerk.: Mollin, R. A, De Gruyter, Berlin, 479-492, 1988.

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

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

Buchmann, J., Pethő, A.: Computation of Independent Units in Number Fields by Dirichlet's Method.
In: Algebraic algorithms and error-correcting codes. Ed.: Jacques Calmet, Springer-Verlag, Berlin ; Heidelberg, 302-305, 1986. ISBN: 9783540167761

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

Nemes, I., Pethő, A.: Polynomial values in linear recurrences II..
J. Number Theory. 24 (1), 47-53, 1986.

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.

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.

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.: Beiträge zur Theorie der S-ordnungen.
Acta Math. Hung. 37 (1-3), 51-57, 1981.

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.

Győry, K., Pethő, A.: Über die Verteilung der Lösungen von Normformen Gleichungen III.
Acta Arith. 37 143-165, 1980.

Győry, K., Pethő, A.: Über die Verteilung der Lösungen von Normformen Gleichungen II.
Acta Arith. 32 (4), 349-363, 1977.

Győry, K., Pethő, A.: Sur la distribution des solutions des équations du type "norme-forme".
Acta Math. Hung. 26 (1-2), 135-142, 1975.

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