@article{MTMT:34815901, title = {Cullen numbers and Woodall numbers in generalized Fibonacci sequences}, url = {https://m2.mtmt.hu/api/publication/34815901}, author = {Bérczes, Attila and Pink, István and Paul, Young}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {2024}, unique-id = {34815901}, issn = {0022-314X}, year = {2024}, eissn = {1096-1658}, pages = {1} } @misc{MTMT:34815725, title = {Number of solutions to a special type of unit equations in two unknowns, III}, url = {https://m2.mtmt.hu/api/publication/34815725}, author = {Takafumi, Miyazaki and Pink, István}, unique-id = {34815725}, year = {2024} } @article{MTMT:34788978, title = {Calculating generators of power integral bases in pure sextic fields}, url = {https://m2.mtmt.hu/api/publication/34788978}, author = {Gaál, István}, doi = {10.7169/facm/2111}, journal-iso = {FUNCT APPROX COMMENT MATH}, journal = {FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI}, volume = {70}, unique-id = {34788978}, issn = {0208-6573}, year = {2024}, eissn = {2080-9433}, pages = {85-100} } @misc{MTMT:34788959, title = {On the monogenity of quartic number fields defined by $x4+ax2+b$}, url = {https://m2.mtmt.hu/api/publication/34788959}, author = {Lhoussain, El Fadil and Gaál, István}, unique-id = {34788959}, year = {2024} } @article{MTMT:34787521, title = {Number of solutions to a special type of unit equations in two unknowns, II}, url = {https://m2.mtmt.hu/api/publication/34787521}, author = {Miyazaki, Takafumi and Pink, István}, doi = {10.1007/s40993-024-00524-7}, journal-iso = {RESEARCH IN NUMBER THEORY}, journal = {RESEARCH IN NUMBER THEORY}, volume = {10}, unique-id = {34787521}, issn = {2363-9555}, year = {2024} } @article{MTMT:34781671, title = {The resolution of three exponential Diophantine equations in several variables}, url = {https://m2.mtmt.hu/api/publication/34781671}, author = {Bertók, Csanád and Hajdu, Lajos}, doi = {10.1016/j.jnt.2024.01.009}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {260}, unique-id = {34781671}, issn = {0022-314X}, year = {2024}, eissn = {1096-1658}, pages = {29-40} } @misc{MTMT:34406059, title = {Singmaster-type results for Stirling numbers and some related diophantine equations}, url = {https://m2.mtmt.hu/api/publication/34406059}, author = {Bazsó, András and Mező, István and Pintér, Ákos and Tengely, Szabolcs}, unique-id = {34406059}, year = {2023} } @article{MTMT:34071125, title = {Effective results for polynomial values of (alternating) power sums of arithmetic progressions}, url = {https://m2.mtmt.hu/api/publication/34071125}, author = {Bazsó, András}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {2023}, unique-id = {34071125}, issn = {0031-5303}, year = {2023}, eissn = {1588-2829}, pages = {1} } @article{MTMT:34069923, title = {On polynomials with only rational roots}, url = {https://m2.mtmt.hu/api/publication/34069923}, author = {Hajdu, Lajos and Tijdeman, Robert and Varga, Nóra}, doi = {10.1112/mtk.12209}, journal-iso = {MATHEMATIKA}, journal = {MATHEMATIKA}, volume = {69}, unique-id = {34069923}, issn = {0025-5793}, abstract = {In this paper, we study upper bounds for the degrees of polynomials with only rational roots. First, we assume that the coefficients are bounded. In the second theorem, we suppose that the primes 2 and 3 do not divide any coefficient. The third theorem concerns the case that all coefficients are composed of primes from a fixed finite set.}, year = {2023}, eissn = {2041-7942}, pages = {867-878}, orcid-numbers = {Varga, Nóra/0000-0003-0489-9255} } @misc{MTMT:34064562, title = {Decomposable form generated by linear recurrences}, url = {https://m2.mtmt.hu/api/publication/34064562}, author = {Győry, Kálmán and Pethő, Attila and Szalay, László}, unique-id = {34064562}, year = {2023} }