@article{MTMT:2238235, title = {On the GCD-s of k consecutive terms of Lucas sequences}, url = {https://m2.mtmt.hu/api/publication/2238235}, author = {Hajdu, Lajos and Szikszai, Márton}, doi = {10.1016/j.jnt.2012.05.022}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {132}, unique-id = {2238235}, issn = {0022-314X}, year = {2012}, eissn = {1096-1658}, pages = {3056-3069} } @article{MTMT:25074864, title = {POLYNOMIAL-EXPONENTIAL EQUATIONS INVOLVING MULTI-RECURRENCES}, url = {https://m2.mtmt.hu/api/publication/25074864}, author = {Fuchs, Clemens}, doi = {10.1556/SScMath.2009.1098}, journal-iso = {STUD SCI MATH HUNG}, journal = {STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA}, volume = {46}, unique-id = {25074864}, issn = {0081-6906}, year = {2009}, eissn = {1588-2896}, pages = {377-398} } @article{MTMT:20700445, title = {Brindza Béla (1958-2003)}, url = {https://m2.mtmt.hu/api/publication/20700445}, author = {Győry, Kálmán and Pethő, Attila and Pintér, Ákos}, doi = {10.5486/PMD.2004.3207}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {65}, unique-id = {20700445}, issn = {0033-3883}, year = {2004}, eissn = {2064-2849}, pages = {1-11} } @book{MTMT:20296886, title = {Recurrence sequences}, url = {https://m2.mtmt.hu/api/publication/20296886}, isbn = {0821833871}, author = {Everest, G and van der Poorten, A and Shparlinski, IE and Ward, T}, publisher = {AMS}, unique-id = {20296886}, year = {2003} } @article{MTMT:2051384, title = {On the products and sums of terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/2051384}, author = {Kiss, Péter and Mátyás, Ferenc}, journal-iso = {ACTA ACAD PAED AGR SECT MATH}, journal = {ACTA ACADEMIAE PAEDAGOGICAE AGRIENSIS SECTIO MATEMATICAE / AZ ESZTERHÁZY KÁROLY FŐISKOLA TUDOMÁNYOS KÖZLEMÉNYEI. TANULMÁNYOK A MATEMATIKAI TUDOMÁNYOK KÖRÉBŐL}, volume = {28}, unique-id = {2051384}, issn = {1589-6498}, year = {2001}, eissn = {1216-6014}, pages = {3-11} } @article{MTMT:2051379, title = {Perfect powers from the sum of terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/2051379}, author = {Kiss, Péter and Mátyás, Ferenc}, doi = {10.1023/A:1015209026474}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {42}, unique-id = {2051379}, issn = {0031-5303}, year = {2001}, eissn = {1588-2829}, pages = {163-168} } @article{MTMT:2051382, title = {Product of terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/2051382}, author = {Kiss, Péter and Mátyás, Ferenc}, journal-iso = {STUD SCI MATH HUNG}, journal = {STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA}, volume = {37}, unique-id = {2051382}, issn = {0081-6906}, year = {2001}, eissn = {1588-2896}, pages = {355-362} } @article{MTMT:23492189, title = {On sums of the terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/23492189}, author = {Kiss, P}, journal-iso = {ACTA MATHEMATICA (NITRA)}, journal = {ACTA MATHEMATICA (NITRA)}, volume = {4}, unique-id = {23492189}, year = {2000}, pages = {27-31} } @article{MTMT:21910290, title = {Results concerning products and sums of the terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/21910290}, author = {Kiss, P}, journal-iso = {ACTA ACAD PAED AGR SECT MATH}, journal = {ACTA ACADEMIAE PAEDAGOGICAE AGRIENSIS SECTIO MATEMATICAE / AZ ESZTERHÁZY KÁROLY FŐISKOLA TUDOMÁNYOS KÖZLEMÉNYEI. TANULMÁNYOK A MATEMATIKAI TUDOMÁNYOK KÖRÉBŐL}, volume = {27}, unique-id = {21910290}, issn = {1589-6498}, year = {2000}, eissn = {1216-6014}, pages = {1-7} } @article{MTMT:21944791, title = {On polynomial values of the sum and the products of the terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/21944791}, author = {Liptai, Kálmán}, journal-iso = {ACTA ACAD PAED AGR SECT MATH}, journal = {ACTA ACADEMIAE PAEDAGOGICAE AGRIENSIS SECTIO MATEMATICAE / AZ ESZTERHÁZY KÁROLY FŐISKOLA TUDOMÁNYOS KÖZLEMÉNYEI. TANULMÁNYOK A MATEMATIKAI TUDOMÁNYOK KÖRÉBŐL}, volume = {27}, unique-id = {21944791}, issn = {1589-6498}, abstract = {Let G(i)={G(i)x}∞x=0 (i=1,2,…,m) linear recursive sequences and let F(x)=dxq+dpxp+dp−1xp−1+···+d0, where d and di’s are rational integers, be a polynomial. In this paper we showed that for the equations (Formula presented) and (Formula presented) where xi-s are non-negative integers, with some restriction, there are no solutions in xi-s and x if q>q0, where q0 is an effectively computable positive constant. © 2000, Eszterhazy Karoly College. All rights reserved.}, year = {2000}, eissn = {1216-6014}, pages = {9-18} } @article{MTMT:2135380, title = {Result concerning perfect powers in linear recurrences}, url = {https://m2.mtmt.hu/api/publication/2135380}, author = {Liptai, Kálmán}, journal-iso = {ACTA MATHEMATICA (NITRA)}, journal = {ACTA MATHEMATICA (NITRA)}, volume = {4}, unique-id = {2135380}, year = {2000}, pages = {47-56} } @article{MTMT:21910434, title = {On the difference of perfect powers and sums of terms of linear recurrences}, url = {https://m2.mtmt.hu/api/publication/21910434}, author = {Mátyás, F}, journal-iso = {RIV MAT UNIV PARMA}, journal = {RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA}, volume = {6}, unique-id = {21910434}, issn = {0035-6298}, year = {2000}, pages = {77-85} } @article{MTMT:21944753, title = {On a problem concerning perfect powers in linear recurrences}, url = {https://m2.mtmt.hu/api/publication/21944753}, author = {Kiss, P}, journal-iso = {ACTA ACAD PAED AGR SECT MATH}, journal = {ACTA ACADEMIAE PAEDAGOGICAE AGRIENSIS SECTIO MATEMATICAE / AZ ESZTERHÁZY KÁROLY FŐISKOLA TUDOMÁNYOS KÖZLEMÉNYEI. TANULMÁNYOK A MATEMATIKAI TUDOMÁNYOK KÖRÉBŐL}, volume = {26}, unique-id = {21944753}, issn = {1589-6498}, year = {1999}, eissn = {1216-6014}, pages = {25-30} } @mastersthesis{MTMT:1805907, title = {Diophantine equations concerning linear recurrences}, url = {https://m2.mtmt.hu/api/publication/1805907}, author = {Szalay, László}, unique-id = {1805907}, year = {1999} }