@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:33096654,
	title = {Diophantine problems related to cyclic cubic and quartic fields},
	url = {https://m2.mtmt.hu/api/publication/33096654},
	author = {Tengely, Szabolcs and Ulas, Maciej},
	doi = {10.1016/j.jnt.2022.01.003},
	journal-iso = {J NUMBER THEORY},
	journal = {JOURNAL OF NUMBER THEORY},
	volume = {240},
	unique-id = {33096654},
	issn = {0022-314X},
	abstract = {We are interested in solving the congruences f(3) + g(3) + 1 0 (mod fg) and f(4) - 4g(2) + 4 0 (mod fg) in polynomials f, g with rational coefficients. Moreover, we present results of computations of all integer points on certain one parametric curves of genus 1 and 3, related to cubic and quartic fields, respectively. Our approach is based on Grobner basis techniques and we do numerical experiences based on it. We mainly deal with the case deg f <= 2 and prove that there are no new families of cyclic cubic nor cyclic quartic fields. In case of cyclic quartic fields we obtained a new polynomial that was not discovered by Balady and Washington [2], it is given by t(4) + 7890798742t(3) - 37333446t(2) + 38618t + 1.},
	year = {2022},
	eissn = {1096-1658},
	pages = {656-684},
	orcid-numbers = {Ulas, Maciej/0000-0002-1927-4453}
}

@article{MTMT:31854767,
	title = {Lucas sequences and repdigits},
	url = {https://m2.mtmt.hu/api/publication/31854767},
	author = {Hashim, Hayder Raheem and Tengely, Szabolcs},
	doi = {10.21136/MB.2021.0155-20},
	journal-iso = {MATH BOHEMICA},
	journal = {MATHEMATICA BOHEMICA},
	volume = {147},
	unique-id = {31854767},
	issn = {0862-7959},
	year = {2022},
	pages = {301-318}
}

@article{MTMT:31817441,
	title = {Markoff-Rosenberger triples and generalized Lucas sequences},
	url = {https://m2.mtmt.hu/api/publication/31817441},
	author = {Hashim, Hayder Raheem and Tengely, Szabolcs and Szalay, László},
	doi = {10.1007/s10998-021-00430-w},
	journal-iso = {PERIOD MATH HUNG},
	journal = {PERIODICA MATHEMATICA HUNGARICA},
	volume = {85},
	unique-id = {31817441},
	issn = {0031-5303},
	year = {2022},
	eissn = {1588-2829},
	pages = {188-202}
}

@misc{MTMT:34131657,
	title = {Sorozatok a diofantikus számelméletben : MTA doktori értekezés tézisei},
	url = {https://m2.mtmt.hu/api/publication/34131657},
	author = {Tengely, Szabolcs},
	unique-id = {34131657},
	year = {2021}
}

@article{MTMT:32464516,
	title = {Equal values of certain partition functions via Diophantine equations},
	url = {https://m2.mtmt.hu/api/publication/32464516},
	author = {Tengely, Szabolcs and Ulas, Maciej},
	doi = {10.1007/s40993-021-00293-7},
	journal-iso = {RESEARCH IN NUMBER THEORY},
	journal = {RESEARCH IN NUMBER THEORY},
	volume = {7},
	unique-id = {32464516},
	issn = {2363-9555},
	year = {2021},
	orcid-numbers = {Ulas, Maciej/0000-0002-1927-4453}
}

@mastersthesis{MTMT:32073590,
	title = {Sequences in diophantine number theory. a doctoral dissertation submitted to the Hungarian Academy of Sciences},
	url = {https://m2.mtmt.hu/api/publication/32073590},
	author = {Tengely, Szabolcs},
	publisher = {Hungarian Academy of Sciences},
	unique-id = {32073590},
	year = {2021}
}

@article{MTMT:31817706,
	title = {Cryptanalysis of ITRU},
	url = {https://m2.mtmt.hu/api/publication/31817706},
	author = {Hashim, Hayder Raheem and Molnár, A. and Tengely, Szabolcs},
	doi = {10.21857/yrvgqtexl9},
	journal-iso = {RAD HRVAT AKAD ZNAN UMJET MAT ZNAN},
	journal = {RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI},
	volume = {25},
	unique-id = {31817706},
	issn = {1845-4100},
	year = {2021},
	eissn = {1849-2215},
	pages = {181-193}
}

@article{MTMT:31617740,
	title = {Powers in arithmetic progressions},
	url = {https://m2.mtmt.hu/api/publication/31617740},
	author = {Hajdu, Lajos and Tengely, Szabolcs},
	doi = {10.1007/s11139-020-00331-5},
	journal-iso = {RAMANUJAN J},
	journal = {RAMANUJAN JOURNAL},
	volume = {55},
	unique-id = {31617740},
	issn = {1382-4090},
	year = {2021},
	eissn = {1572-9303},
	pages = {965-986}
}

@book{MTMT:31914914,
	title = {Lecture Notes on Cryptography},
	url = {https://m2.mtmt.hu/api/publication/31914914},
	author = {Tengely, Szabolcs},
	publisher = {University of Debrecen},
	unique-id = {31914914},
	year = {2020}
}