On the Diophantine equation \(x^2 + p^{2k} = y^n\). Zbl 1175.11018
Bérczes, Attila; Pink, István |
|
2008
|
Effective results for hyper- and superelliptic equations over number fields. Zbl 1274.11085
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2013
|
On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). Zbl 1433.11034
Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan |
|
2018
|
On generalized balancing sequences. Zbl 1211.11015
Bérczes, Attila; Liptai, Kálmán; Pink, István |
|
2010
|
On generalized Lebesgue-Ramanujan-Nagell equations. Zbl 1340.11039
Bérczes, Attila; Pink, István |
|
2014
|
Multiply monogenic orders. Zbl 1319.11070
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2013
|
On the power values of polynomials. Zbl 0911.11019
Bérczes, Attila; Brindza, Béla; Hajdú, Lajos |
|
1998
|
Polynomial values of sums of products of consecutive integers. Zbl 1442.11055
Bazsó, A.; Bérczes, A.; Hajdu, L.; Luca, F. |
|
2018
|
On the Diophantine equation \(x^2+d^{2l+1}=y^n\). Zbl 1266.11059
Bérczes, Attila; Pink, István |
|
2012
|
Multiplicative dependence among iterated values of rational functions modulo finitely generated groups. Zbl 1490.37115
Bérczes, Attila; Ostafe, Alina; Shparlinski, Igor E.; Silverman, Joseph H. |
|
2021
|
Effective results for Diophantine equations over finitely generated domains. Zbl 1312.11019
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2014
|
Computational experiences on the distances of polynomials to irreducible polynomials. Zbl 0854.11014
Bérczes, A.; Hajdu, L. |
|
1997
|
Arithmetic progressions in the solution sets of norm form equations. Zbl 1204.11064
Bérczes, Attila; Hajdu, Lajos; Pethő, Attila |
|
2010
|
Sums of \(S\)-units in recurrence sequences. Zbl 1465.11084
Bérczes, A.; Hajdu, L.; Pink, I.; Rout, S. S. |
|
2019
|
On a problem of P. Turán concerning irreducible polynomials. Zbl 0918.11018
Bérczes, A.; Hajdu, L. |
|
1998
|
A one-way function based on norm form equations. Zbl 1061.94046
Bérczes, A.; Ködmön, J.; Pethő, A. |
|
2004
|
Effective results for linear equations in two unknowns from a multiplicative division group. Zbl 1234.11034
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2009
|
On the resolution of equations \(Ax^n - By^n = C\) in integers \(x,y\) and \(n\geq 3\). II. Zbl 1218.11036
Bazsó, András; Bérczes, Attila; Győry, Kálmán; Pintér, Ákos |
|
2010
|
On norm form equations with solutions forming arithmetic progressions. Zbl 1072.11026
Bérczes, Attila; Pethő, Attila |
|
2004
|
Computational experiences on norm form equations with solutions forming arithmetic progressions. Zbl 1124.11020
Bérczes, Attila; Pethő, Attila |
|
2006
|
On the equation \(1^{k}+2^{k}+\cdots +x^{k}=y^{n}\) for fixed \(x\). Zbl 1402.11052
Bérczes, A.; Hajdu, L.; Miyazaki, T.; Pink, I. |
|
2016
|
On the number of equivalence classes of binary forms of given degree and given discriminant. Zbl 1050.11035
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2004
|
On the size of sets whose elements have perfect power \(n\)-shifted products. Zbl 1249.11036
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Luca, Florian |
|
2011
|
Parameterized norm form equations with arithmetic progressions. Zbl 1201.11039
Bérczes, A.; Pethő, A.; Ziegler, V. |
|
2006
|
Effective results for points on certain subvarieties of tori. Zbl 1177.11054
Bérczes, Attila; Győry, Kálmán; Evertse, Jan-Hendrik; Pontreau, Corentin |
|
2009
|
A key exchange protocol based on Diophantine equations and \(S\)-integers. Zbl 1408.94927
Bérczes, Attila; Hajdu, Lajos; Hirata-Kohno, Noriko; Kovács, Tünde; Petho, Attila |
|
2014
|
On simultaneous palindromes. Zbl 1353.11010
Bérczes, Attila; Ziegler, Volker |
|
2014
|
On the number of solutions of norm form equations. Zbl 1062.11018
Bérczes, A. |
|
2001
|
On the number of solutions of decomposable polynomial equations. Zbl 1006.11016
Bérczes, A.; Győry, K. |
|
2002
|
Skolem’s conjecture confirmed for a family of exponential equations. II. Zbl 1465.11085
Bérczes, A.; Hajdu, L.; Tijdeman, R. |
|
2021
|
On geometric progressions on Pell equations and Lucas sequences. Zbl 1331.11023
Bérczes, Attila; Ziegler, Volker |
|
2013
|
Products of factorials which are powers. Zbl 1441.11062
Bérczes, A.; Dujella, A.; Hajdu, L.; Saradha, N.; Tijdeman, R. |
|
2019
|
On the largest prime factor of numerators of Bernoulli numbers. Zbl 1337.11009
Bérczes, Attila; Luca, Florian |
|
2012
|
Finiteness results for \(F\)-Diophantine sets. Zbl 1396.11056
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Tengely, Szabolcs |
|
2016
|
On the Diophantine equation \(1 + x^a + z^b = y^n\). Zbl 1419.11057
Bérczes, A.; Hajdu, L.; Miyazaki, T.; Pink, I. |
|
2016
|
Some Diophantine properties of the sequence of \(S\)-units. Zbl 1366.11055
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos |
|
2014
|
Additive Diophantine equations with binary recurrences, \(\mathcal{S}\)-units and several factorials. Zbl 1533.11032
Bérczes, Attila; Hajdu, Lajos; Luca, Florian; Pink, István |
|
2023
|
Diophantine problems related to discriminants and resultants of binary forms. Zbl 1190.11024
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2007
|
An application of index forms in cryptography. Zbl 1199.94060
Bérczes, Attila; Járási, István |
|
2009
|
Effective results for unit points on curves over finitely generated domains. Zbl 1371.11106
Bérczes, Attila |
|
2015
|
Additive Diophantine equations with binary recurrences, \(\mathcal{S}\)-units and several factorials. Zbl 1533.11032
Bérczes, Attila; Hajdu, Lajos; Luca, Florian; Pink, István |
|
2023
|
Multiplicative dependence among iterated values of rational functions modulo finitely generated groups. Zbl 1490.37115
Bérczes, Attila; Ostafe, Alina; Shparlinski, Igor E.; Silverman, Joseph H. |
|
2021
|
Skolem’s conjecture confirmed for a family of exponential equations. II. Zbl 1465.11085
Bérczes, A.; Hajdu, L.; Tijdeman, R. |
|
2021
|
Sums of \(S\)-units in recurrence sequences. Zbl 1465.11084
Bérczes, A.; Hajdu, L.; Pink, I.; Rout, S. S. |
|
2019
|
Products of factorials which are powers. Zbl 1441.11062
Bérczes, A.; Dujella, A.; Hajdu, L.; Saradha, N.; Tijdeman, R. |
|
2019
|
On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\). Zbl 1433.11034
Bérczes, Attila; Pink, István; Savaş, Gamze; Soydan, Gökhan |
|
2018
|
Polynomial values of sums of products of consecutive integers. Zbl 1442.11055
Bazsó, A.; Bérczes, A.; Hajdu, L.; Luca, F. |
|
2018
|
On the equation \(1^{k}+2^{k}+\cdots +x^{k}=y^{n}\) for fixed \(x\). Zbl 1402.11052
Bérczes, A.; Hajdu, L.; Miyazaki, T.; Pink, I. |
|
2016
|
Finiteness results for \(F\)-Diophantine sets. Zbl 1396.11056
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Tengely, Szabolcs |
|
2016
|
On the Diophantine equation \(1 + x^a + z^b = y^n\). Zbl 1419.11057
Bérczes, A.; Hajdu, L.; Miyazaki, T.; Pink, I. |
|
2016
|
Effective results for unit points on curves over finitely generated domains. Zbl 1371.11106
Bérczes, Attila |
|
2015
|
On generalized Lebesgue-Ramanujan-Nagell equations. Zbl 1340.11039
Bérczes, Attila; Pink, István |
|
2014
|
Effective results for Diophantine equations over finitely generated domains. Zbl 1312.11019
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2014
|
A key exchange protocol based on Diophantine equations and \(S\)-integers. Zbl 1408.94927
Bérczes, Attila; Hajdu, Lajos; Hirata-Kohno, Noriko; Kovács, Tünde; Petho, Attila |
|
2014
|
On simultaneous palindromes. Zbl 1353.11010
Bérczes, Attila; Ziegler, Volker |
|
2014
|
Some Diophantine properties of the sequence of \(S\)-units. Zbl 1366.11055
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos |
|
2014
|
Effective results for hyper- and superelliptic equations over number fields. Zbl 1274.11085
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2013
|
Multiply monogenic orders. Zbl 1319.11070
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2013
|
On geometric progressions on Pell equations and Lucas sequences. Zbl 1331.11023
Bérczes, Attila; Ziegler, Volker |
|
2013
|
On the Diophantine equation \(x^2+d^{2l+1}=y^n\). Zbl 1266.11059
Bérczes, Attila; Pink, István |
|
2012
|
On the largest prime factor of numerators of Bernoulli numbers. Zbl 1337.11009
Bérczes, Attila; Luca, Florian |
|
2012
|
On the size of sets whose elements have perfect power \(n\)-shifted products. Zbl 1249.11036
Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Luca, Florian |
|
2011
|
On generalized balancing sequences. Zbl 1211.11015
Bérczes, Attila; Liptai, Kálmán; Pink, István |
|
2010
|
Arithmetic progressions in the solution sets of norm form equations. Zbl 1204.11064
Bérczes, Attila; Hajdu, Lajos; Pethő, Attila |
|
2010
|
On the resolution of equations \(Ax^n - By^n = C\) in integers \(x,y\) and \(n\geq 3\). II. Zbl 1218.11036
Bazsó, András; Bérczes, Attila; Győry, Kálmán; Pintér, Ákos |
|
2010
|
Effective results for linear equations in two unknowns from a multiplicative division group. Zbl 1234.11034
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2009
|
Effective results for points on certain subvarieties of tori. Zbl 1177.11054
Bérczes, Attila; Győry, Kálmán; Evertse, Jan-Hendrik; Pontreau, Corentin |
|
2009
|
An application of index forms in cryptography. Zbl 1199.94060
Bérczes, Attila; Járási, István |
|
2009
|
On the Diophantine equation \(x^2 + p^{2k} = y^n\). Zbl 1175.11018
Bérczes, Attila; Pink, István |
|
2008
|
Diophantine problems related to discriminants and resultants of binary forms. Zbl 1190.11024
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2007
|
Computational experiences on norm form equations with solutions forming arithmetic progressions. Zbl 1124.11020
Bérczes, Attila; Pethő, Attila |
|
2006
|
Parameterized norm form equations with arithmetic progressions. Zbl 1201.11039
Bérczes, A.; Pethő, A.; Ziegler, V. |
|
2006
|
A one-way function based on norm form equations. Zbl 1061.94046
Bérczes, A.; Ködmön, J.; Pethő, A. |
|
2004
|
On norm form equations with solutions forming arithmetic progressions. Zbl 1072.11026
Bérczes, Attila; Pethő, Attila |
|
2004
|
On the number of equivalence classes of binary forms of given degree and given discriminant. Zbl 1050.11035
Bérczes, Attila; Evertse, Jan-Hendrik; Győry, Kálmán |
|
2004
|
On the number of solutions of decomposable polynomial equations. Zbl 1006.11016
Bérczes, A.; Győry, K. |
|
2002
|
On the number of solutions of norm form equations. Zbl 1062.11018
Bérczes, A. |
|
2001
|
On the power values of polynomials. Zbl 0911.11019
Bérczes, Attila; Brindza, Béla; Hajdú, Lajos |
|
1998
|
On a problem of P. Turán concerning irreducible polynomials. Zbl 0918.11018
Bérczes, A.; Hajdu, L. |
|
1998
|
Computational experiences on the distances of polynomials to irreducible polynomials. Zbl 0854.11014
Bérczes, A.; Hajdu, L. |
|
1997
|
