Tudóstér: Bérczes Attila Jenő publikációi

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.

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.

Bérczes, A., Le, M., Pink, I., Soydan, G.: A note on the ternary Diophantine equation x^2-y^{2m}=z^n.
An. St. Univ. Ovidius Constanta, Ser. Mat. 29 (2), 93-105, 2021.

Bérczes, A., Ostafe, A., Shparlinski, I., Silverman, J.: Multiplicative Dependence Among Iterated Values of Rational Functions Modulo Finitely Generated Groups.
Int. Math. Res. Notices. 2021 (12), 9045-9082, 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.

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

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

Bérczes, A., Hajdu, L., Pink, I., Rout, S.: Sums of S-units in recurrence sequences.
J. Number Theory. 196 353-363, 2019.

Bérczes, A., Bérczes, T., Varga, I., Tiba, A., Zsuga, J.: Using Laplacian spectrum to analise the comorbidities network of hemorrhagic stroke.
In: Proceedings of the 10th IEEE International Conference on Cognitive Infocommunications : CogInfoCom 2019. Szerk.: Péter Baranyi, IEEE-Inst Electrical Electronics Engineers Inc, Piscataway, 53-60, 2019. ISBN: 9781728147932

Bérczes, A., Bilu, Y., Luca, F.: Diophantine equations with products of consecutive members of binary recurrences.
Ramanujan J. 46 (1), 49-75, 2018.

Bazsó, A., Bérczes, A., Hajdu, L., Luca, F.: Polynomial values of sums of products of consecutive integers.
Monatsh. Math. 187 (1), 21-34, 2018.

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.

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.

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.

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.

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

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.

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

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

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.

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

Bérczes, A., Ziegler, V.: On geometric progressions on Pell equations and Lucas sequences.
Glas. Mat. 48 (1), 1-22, 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.
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Bérczes, A., Pink, I.: On the Diophantine equation x^2+d^{2l+1}=y^n.
Glasg. Math. J. 54 (02), 415-428, 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.

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.

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.

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

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

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

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

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

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

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

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.

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

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

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

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

Bérczes, A., Evertse, J., Győry, K.: On the number of equivalence classes of binary forms of given degree and given discriminant.
Acta Arith. 113 (4), 363-399, 2004.

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

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

Bérczes, A., Brindza, B., Hajdu, L.: On the power values of polynomials.
Publ. Math. Debr. 53 (3-4), 375-381, 1998.

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