@article{MTMT:32440446,
author = {Gaál, István},
doi = {10.17654/NT051010097},
title = {AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS},
journal-iso = {JP J ALGEBR NUM THEOR APPL},
journal = {JP JOURNAL OF ALGEBRA, NUMBER THEORY AND APPLICATIONS},
volume = {51},
unique-id = {32440446},
issn = {0972-5555},
abstract = {Let f (x) be a trinomial (i.e., an irreducible polynomial with three terms), denote by alpha a root of f (x). f (x) is called monogenic, if alpha generates a power integral basis in K = Q(alpha).There is an extensive literature of monogenic trinomials. A natural question is to ask if K has power integral bases, different from the one generated by alpha. In the present paper we consider this question in a special infinite parametric family of trinomials. Our purpose is to describe all generators of power integral bases in the number fields generated by the roots of the trinomials.},
keywords = {Relative Thue equations; power integral basis; sextic fields; monogenity; calculating the solutions; Trinomials},
year = {2021},
pages = {97-111}
}
@misc{MTMT:32337956,
author = {Jan-Hendrik, Evertse and Győry, Kálmán and Remete, László},
title = {Hermite equivalence of polynomials},
unique-id = {32337956},
year = {2021}
}
@misc{MTMT:32265773,
author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán},
title = {The Simulation of Finite-Source Retrial Queueing Systems With Two-Way Communications to the Orbit and Impatient Customers},
unique-id = {32265773},
year = {2021}
}
@inproceedings{MTMT:32255780,
author = {Tóth, Ádám and Sztrik, János and Pintér, Ákos and Bács, Zoltán},
booktitle = {2021 International Conference on Information and Digital Technologies (IDT)},
doi = {10.1109/IDT52577.2021.9497567},
title = {Reliability Analysis of Finite-Source Retrial Queuing System with Collisions and Impatient Customers in the Orbit Using Simulation},
unique-id = {32255780},
year = {2021},
pages = {230-234}
}
@article{MTMT:32171117,
author = {Pongrácz, András},
title = {Extremal solutions of an inequality concerning supports of permutation groups and punctured Hadamard codes},
journal-iso = {PUBL MAT},
journal = {PUBLICACIONS MATEMATIQUES},
volume = {2021},
unique-id = {32171117},
issn = {0214-1493},
year = {2021},
pages = {1}
}
@mastersthesis{MTMT:32073590,
author = {Tengely, Szabolcs},
title = {Sequences in diophantine number theory},
publisher = {MTA},
unique-id = {32073590},
year = {2021}
}
@article{MTMT:32059186,
author = {Nyul, Gábor},
title = {Gondolatok a Sophie Germain-prímek kapcsán},
journal-iso = {TERMÉSZET VILÁGA},
journal = {TERMÉSZET VILÁGA},
volume = {152},
unique-id = {32059186},
issn = {0040-3717},
year = {2021},
pages = {282-283}
}
@article{MTMT:32049182,
author = {Zs., Kereskényi-Balogh and Nyul, Gábor},
doi = {10.1007/s00009-021-01838-x},
title = {Fubini numbers and polynomials of graphs},
journal-iso = {MEDITERR J MATH},
journal = {MEDITERRANEAN JOURNAL OF MATHEMATICS},
volume = {18},
unique-id = {32049182},
issn = {1660-5446},
abstract = {In this paper, we introduce the Fubini number and Fubini polynomial of a graph in connection with the enumeration of ordered independent partitions of its set of vertices. We prove several properties of them, and study how these notions cover other variants of Fubini numbers and polynomials for special graphs.},
keywords = {Fubini number of a graph; Fubini polynomial of a graph},
year = {2021}
}
@misc{MTMT:32044432,
author = {Gaál, István},
title = {Monogenity in totally complex sextic fields, revisited},
unique-id = {32044432},
year = {2021}
}
@misc{MTMT:32044431,
author = {Gaál, István},
title = {Calculating "small" solutions of inhomogeneous relative Thue inequalities},
unique-id = {32044431},
year = {2021}
}