@article{MTMT:32464516,
author = {Tengely, Szabolcs and Ulas, Maciej},
doi = {10.1007/s40993-021-00293-7},
title = {Equal values of certain partition functions via Diophantine equations},
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}
}
@misc{MTMT:32337956,
author = {Jan-Hendrik, Evertse and Győry, Kálmán and Remete, László},
title = {Hermite equivalence of polynomials},
unique-id = {32337956},
year = {2021}
}
@article{MTMT:32269692,
author = {Hajdu, Lajos and Papp, Ágoston},
doi = {10.1007/s00605-021-01544-6},
title = {Polynomial values of products of terms from an arithmetic progression (vol 193, pg 637, 2020)},
journal-iso = {MONATSH MATH},
journal = {MONATSHEFTE FUR MATHEMATIK},
volume = {195},
unique-id = {32269692},
issn = {0026-9255},
year = {2021},
eissn = {1436-5081},
pages = {377-377}
}
@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:32208781,
author = {Székelyhidi, László and Fechner, Zywilla},
doi = {10.1007/s00010-021-00777-y},
title = {Finite dimensional varieties on hypergroups},
journal-iso = {AEQUATIONES MATH},
journal = {AEQUATIONES MATHEMATICAE},
volume = {95},
unique-id = {32208781},
issn = {0001-9054},
abstract = {Let X be a hypergroup, K its compact subhypergroup and assume that (X, K) is a Gelfand pair. Connections between finite dimensional varieties and K-polynomials on X are discussed. It is shown that a K-variety on X is finite dimensional if and only if it is spanned by finitely many K-monomials. Next, finite dimensional varieties on affine groups over R-d, where d is a positive integer are discussed. A complete description of those varieties using partial differential equations is given.},
keywords = {hypergroups; Mathematics, Applied; spherical functions; Gelfand pair},
year = {2021},
eissn = {1420-8903},
pages = {551-567},
orcid-numbers = {Székelyhidi, László/0000-0001-8078-6426; Fechner, Zywilla/0000-0001-7412-6544}
}
@article{MTMT:32208780,
author = {Fechner, Zywilla and Gselmann, Eszter and Székelyhidi, László},
doi = {10.1007/s00010-021-00827-5},
title = {Moment functions and exponential monomials on commutative hypergroups},
journal-iso = {AEQUATIONES MATH},
journal = {AEQUATIONES MATHEMATICAE},
volume = {Published: 28 June 2021},
unique-id = {32208780},
issn = {0001-9054},
abstract = {The purpose of this paper is to prove that if on a commutative hypergroup an exponential monomial has the property that the linear subspace of all sine functions in its variety is one dimensional, then this exponential monomial is a linear combination of generalized moment functions.},
keywords = {Moment function; Mathematics, Applied; moment sequence; Generalized exponential polynomial; Spectral analysis and synthesis},
year = {2021},
eissn = {1420-8903},
orcid-numbers = {Fechner, Zywilla/0000-0001-7412-6544; Székelyhidi, László/0000-0001-8078-6426}
}
@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}
}
@inbook{MTMT:32166800,
author = {Herendiné Kónya, Eszter},
booktitle = {Theoretische und empirische Analysen zum geometrischen Denken},
doi = {10.37626/GA9783959872003.0.10},
title = {How can the concept of perimeter and area be developed in 7th grade?},
unique-id = {32166800},
year = {2021},
pages = {161-172}
}
@article{MTMT:32123661,
author = {Luca, Florian and Pethő, Attila and Szalay, László},
title = {Duplications in the k-generalized Fibonacci sequences},
journal-iso = {NEW YORK J MATH},
journal = {NEW YORK JOURNAL OF MATHEMATICS},
volume = {27},
unique-id = {32123661},
issn = {1076-9803},
abstract = {Let k >= 3 be an odd integer. Consider the k-generalized Fibonacci sequence backward. The characteristic polynomial of this sequence has no dominating zero, therefore the application of Baker's method becomes more difficult. In this paper, we investigate the coincidence of the absolute values of two terms. The principal theorem gives a lower bound for the difference of two terms (in absolute value) if the larger subscript of the two terms is large enough. A corollary of this theorem makes possible to bound the coincidences in the sequence. The proof essentially depends on the structure of the zeros of the characteristic polynomial, and on the application of linear forms in the logarithms of algebraic numbers. Then we reduced the theoretical bound in practice for 3 <= k <= 99, and determined all the coincidences in the corresponding sequences. Finally, we explain certain patterns of pairwise occurrences in each sequence depending on k if k exceeds a suitable entry value associated to the pair.},
keywords = {k-generalized Fibonacci sequence},
year = {2021},
pages = {1115-1133}
}