Bérczes, Attila; Pink, István; Young, Paul Thomas Cullen numbers and Woodall numbers in generalized Fibonacci sequences. (English) Zbl 07865940 J. Number Theory 262, 86-102 (2024). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D41 11D61 11B39 11S80 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Ostafe, Alina; Shparlinski, Igor E.; Silverman, Joseph H. Multiplicative dependence among iterated values of rational functions modulo finitely generated groups. (English) Zbl 1490.37115 Int. Math. Res. Not. 2021, No. 12, 9045-9082 (2021). Reviewer: Günter Lettl (Graz) MSC: 37P05 11G50 14G25 11D61 37P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bazsó, András; Bérczes, Attila; Kolouch, Ondřej; Pink, István; Šustek, Jan Diophantine equations connected to the Komornik polynomials. (English) Zbl 1525.11032 Glas. Mat., III. Ser. 55, No. 1, 13-27 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D41 11B83 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bazsó, A.; Bérczes, A.; Hajdu, L.; Luca, F. Polynomial values of sums of products of consecutive integers. (English) Zbl 1442.11055 Monatsh. Math. 187, No. 1, 21-34 (2018). Reviewer: István Gaál (Debrecen) MSC: 11D41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). (English) Zbl 1433.11034 J. Number Theory 183, 326-351 (2018). MSC: 11D61 11D41 11J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérczes, Attila; Luca, Florian; Pink, István; Ziegler, Volker Trinomials with integral \(S\)-unit coefficients having a quadratic factor. (English) Zbl 1391.11057 Indag. Math., New Ser. 28, No. 6, 1200-1209 (2017). Reviewer: Lajos Hajdu (Debrecen) MSC: 11C08 12D05 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Tengely, Szabolcs Finiteness results for \(F\)-Diophantine sets. (English) Zbl 1396.11056 Monatsh. Math. 180, No. 3, 469-484 (2016). Reviewer: Volker Ziegler (Salzburg) MSC: 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila Effective results for unit points on curves over finitely generated domains. (English) Zbl 1371.11106 Math. Proc. Camb. Philos. Soc. 158, No. 2, 331-353 (2015). MSC: 11G20 11D57 13B25 13P15 11G50 14G05 14H25 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila Effective results for division points on curves in \(\mathbb{G}_m^2\). (English. French summary) Zbl 1395.11104 J. Théor. Nombres Bordx. 27, No. 2, 405-437 (2015). MSC: 11G35 11G50 14G25 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Pink, István On the Diophantine equation \(x^2+d^{2l+1}=y^n\). (English) Zbl 1266.11059 Glasg. Math. J. 54, No. 2, 415-428 (2012). Reviewer: Mihai Cipu (Bucureşti) MSC: 11D41 11D61 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Folláth, János; Pethö, Attila On a family of preimage-resistant functions. (English) Zbl 1287.94052 Tatra Mt. Math. Publ. 47, 1-13 (2010). MSC: 94A60 11T06 68P25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bérczes, Attila; Hajdu, Lajos; Pethő, Attila Arithmetic progressions in the solution sets of norm form equations. (English) Zbl 1204.11064 Rocky Mt. J. Math. 40, No. 2, 383-395 (2010). Reviewer: Péter Olajos (Miskolc) MSC: 11D57 11D45 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Bérczes, Attila; Járási, István An application of index forms in cryptography. (English) Zbl 1199.94060 Period. Math. Hung. 58, No. 1, 35-45 (2009). Reviewer: Péter Olajos (Miskolc) MSC: 94A60 11Y16 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bérczes, A.; Pethő, A.; Ziegler, V. Parameterized norm form equations with arithmetic progressions. (English) Zbl 1201.11039 J. Symb. Comput. 41, No. 7, 790-810 (2006). MSC: 11D57 11J86 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI