@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 $x<SUP>4</SUP>+ax<SUP>2</SUP>+b$},
	url = {https://m2.mtmt.hu/api/publication/34788959},
	author = {Lhoussain, El Fadil and Gaál, István},
	unique-id = {34788959},
	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}
}

@article{MTMT:34644444,
	title = {Indecomposability of mixed linear combinations of Bernoulli and Euler polynomials},
	url = {https://m2.mtmt.hu/api/publication/34644444},
	author = {Pintér, Ákos and Rakaczki, Csaba},
	doi = {10.5486/PMD.2024.9653},
	journal-iso = {PUBL MATH DEBRECEN},
	journal = {PUBLICATIONES MATHEMATICAE DEBRECEN},
	volume = {104},
	unique-id = {34644444},
	issn = {0033-3883},
	year = {2024},
	eissn = {2064-2849},
	pages = {159-170}
}

@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}
}

@article{MTMT:34039284,
	title = {On the monogenity of pure quartic relative extensions of Q(i)},
	url = {https://m2.mtmt.hu/api/publication/34039284},
	author = {Gaál, István and Remete, László},
	doi = {10.1007/s44146-023-00092-9},
	journal-iso = {ACTA SCI MATH (SZEGED)},
	journal = {ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)},
	volume = {89},
	unique-id = {34039284},
	issn = {0001-6969},
	abstract = {We consider pure quartic relative extensions of the number field {{\mathbb {Q}}}(i) Q ( i ) of type K={{\mathbb {Q}}}(\root 4 \of {a+bi}) K = Q ( a + b i 4 ) , where a,b\in {{\mathbb {Z}}} a , b ∈ Z and b\ne 0 b ≠ 0 , such that a+bi\in {{\mathbb {Z}}}[i] a + b i ∈ Z [ i ] is square-free. We describe integral bases of these fields. The index form equation is reduced to a relative cubic Thue equation over {{\mathbb {Q}}}(i) Q ( i ) and some corresponding quadratic form equations. We consider monogenity of K and relative monogenity of K over {{\mathbb {Q}}}(i) Q ( i ) . We shall show how our former method based on the factors of the index form can be used in the relative case to exclude relative monogenity in some cases.},
	keywords = {power integral bases; relative quartic extensions; monogenity; Relative power integral bases; Index form equation},
	year = {2023},
	pages = {357-371},
	orcid-numbers = {Gaál, István/0000-0002-8266-9570}
}

@mastersthesis{MTMT:34035822,
	title = {Algebrai számelméleti és leszámláló kombinatorikai vizsgálatok},
	url = {https://m2.mtmt.hu/api/publication/34035822},
	author = {Arnóczki, Tímea},
	unique-id = {34035822},
	year = {2023}
}