@article{MTMT:34123940, title = {On power values of pyramidal numbers, II}, url = {https://m2.mtmt.hu/api/publication/34123940}, author = {Dujella, Andrej and Győry, Kálmán and P, Michaud-Jacobs and Pintér, Ákos}, doi = {10.4064/aa211213-27-7}, journal-iso = {ACTA ARITH}, journal = {ACTA ARITHMETICA}, volume = {208}, unique-id = {34123940}, issn = {0065-1036}, keywords = {binomial Thue equations; pyramidal; Frey curve; perfect power; modular method; level-lowering}, year = {2023}, eissn = {1730-6264}, pages = {199-213} } @article{MTMT:32576824, title = {Characterization of quasi-arithmetic means without regularity condition}, url = {https://m2.mtmt.hu/api/publication/32576824}, author = {Burai, Pál József and Kiss, Gergely and Szokol, Patrícia Ágnes}, doi = {10.1007/s10474-021-01185-z}, journal-iso = {ACTA MATH HUNG}, journal = {ACTA MATHEMATICA HUNGARICA}, volume = {165}, unique-id = {32576824}, issn = {0236-5294}, abstract = {We show that bisymmetry, which is an algebraic property, hasa regularity improving feature. More precisely, we prove that every bisymmetric,partially strictly monotonic, reflexive and symmetric function F: I2→ I is continuous.As a consequence, we obtain a finer characterization of quasi-arithmeticmeans than the classical results of Aczél [1], Kolmogoroff [18], Nagumo [20] andde Finetti [11]. © 2021, Akadémiai Kiadó, Budapest, Hungary.}, keywords = {Associativity; quasi-arithmetic mean; Reflexivity; Bisymmetry}, year = {2021}, eissn = {1588-2632}, pages = {474-485} } @mastersthesis{MTMT:32049121, title = {Általánosított Lah-számok és néhány kapcsolódó kombinatorikus számsorozat}, url = {https://m2.mtmt.hu/api/publication/32049121}, author = {Rácz, Gabriella}, publisher = {Debreceni Egyetem Természettudományi és Technológiai Kar}, unique-id = {32049121}, year = {2021} } @article{MTMT:32003595, title = {On the balancing property of Matkowski means}, url = {https://m2.mtmt.hu/api/publication/32003595}, author = {Kiss, Tibor}, doi = {10.1007/s00010-020-00758-7}, journal-iso = {AEQUATIONES MATH}, journal = {AEQUATIONES MATHEMATICAE}, volume = {95}, unique-id = {32003595}, issn = {0001-9054}, year = {2021}, eissn = {1420-8903}, pages = {75-89} } @article{MTMT:31982145, title = {On the Diophantine Pair {a,3a}}, url = {https://m2.mtmt.hu/api/publication/31982145}, author = {Adédji, Kouèssi Norbert and He, Bo and Pintér, Ákos and Togbé, Alain}, doi = {10.1016/j.jnt.2021.03.011}, journal-iso = {J NUMBER THEORY}, journal = {JOURNAL OF NUMBER THEORY}, volume = {227}, unique-id = {31982145}, issn = {0022-314X}, year = {2021}, eissn = {1096-1658}, pages = {330-351}, orcid-numbers = {Togbé, Alain/0000-0002-5882-936X} } @article{MTMT:31682399, title = {The r-Dowling-Lah polynomials}, url = {https://m2.mtmt.hu/api/publication/31682399}, author = {Gyimesi, Eszter}, doi = {10.1007/s00009-020-01669-2}, journal-iso = {MEDITERR J MATH}, journal = {MEDITERRANEAN JOURNAL OF MATHEMATICS}, volume = {18}, unique-id = {31682399}, issn = {1660-5446}, year = {2021}, eissn = {1660-5454} } @article{MTMT:31650918, title = {Associated r-Dowling numbers and some relatives}, url = {https://m2.mtmt.hu/api/publication/31650918}, author = {Gyimesi, Eszter and Nyul, Gábor}, doi = {10.5802/crmath.145}, journal-iso = {CR MATH}, journal = {COMPTES RENDUS MATHEMATIQUE}, volume = {359}, unique-id = {31650918}, issn = {1631-073X}, year = {2021}, eissn = {1778-3569}, pages = {47-55} } @article{MTMT:31612547, title = {Matchings in complete bipartite graphs and the r-Lah numbers}, url = {https://m2.mtmt.hu/api/publication/31612547}, author = {Nyul, Gábor and Rácz, Gabriella}, doi = {10.21136/CMJ.2021.0148-20}, journal-iso = {CZECH MATH J}, journal = {CZECHOSLOVAK MATHEMATICAL JOURNAL}, volume = {71}, unique-id = {31612547}, issn = {0011-4642}, abstract = {We give a graph theoretic interpretation of r-Lah numbers, namely, we show that the r -Lah number left perpendicular(k)(n)right perpendicular(r) counting the number of r-partitions of an (n + r)-element set into k + r ordered blocks is just equal to the number of matchings consisting of n - k edges in the complete bipartite graph with partite sets of cardinality n and n + 2r - 1 (0 <= k <= n, r >= 1). We present five independent proofs including a direct, bijective one. Finally, we close our work with a similar result for r-Stirling numbers of the second kind.}, keywords = {r-Lah numbers; Complete bipartite graph; number of matchings; r-Stirling number of the second kind}, year = {2021}, eissn = {1572-9141}, pages = {947-959} } @article{MTMT:31729837, title = {HERMITE-HADAMARD TYPE INEQUALITY FOR CERTAIN SCHUR CONVEX FUNCTIONS}, url = {https://m2.mtmt.hu/api/publication/31729837}, author = {Burai, Pál József and Makó, Judit and Szokol, Patrícia Ágnes}, doi = {10.7153/mia-2020-23-103}, journal-iso = {MATH INEQUAL APPL}, journal = {MATHEMATICAL INEQUALITIES & APPLICATIONS}, volume = {23}, unique-id = {31729837}, issn = {1331-4343}, abstract = {The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approximation theorem.}, keywords = {Convexity; circulant matrices; positive linear functional; Korovkin theorem; Hermite-Hadamard inequality; doubly stochastic matrices}, year = {2020}, eissn = {1331-4343}, pages = {1441-1458} } @article{MTMT:31641686, title = {On linear combinations of products of consecutive integers}, url = {https://m2.mtmt.hu/api/publication/31641686}, author = {Bazsó, András}, doi = {10.1007/s10474-020-01083-w}, journal-iso = {ACTA MATH HUNG}, journal = {ACTA MATHEMATICA HUNGARICA}, volume = {162}, unique-id = {31641686}, issn = {0236-5294}, year = {2020}, eissn = {1588-2632}, pages = {690-704} }