On the combinatorics of symmetrized poly-bernoulli numbers

Beáta Bényi; Toshiki Matsusaka

doi:10.37236/9743

On the combinatorics of symmetrized poly-bernoulli numbers

Beáta Bényi, Toshiki Matsusaka

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper we introduce three combinatorial models for symmetrized poly-Bernoulli numbers. Based on our models we derive generalizations of some identities for poly-Bernoulli numbers. Finally, we set open questions and directions of further studies.

Original language	English
Article number	P1.47
Pages (from-to)	1-20
Number of pages	20
Journal	Electronic Journal of Combinatorics
Volume	28
Issue number	1
DOIs	https://doi.org/10.37236/9743
Publication status	Published - 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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10.37236/9743

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abstract = "In this paper we introduce three combinatorial models for symmetrized poly-Bernoulli numbers. Based on our models we derive generalizations of some identities for poly-Bernoulli numbers. Finally, we set open questions and directions of further studies.",

author = "Be{\'a}ta B{\'e}nyi and Toshiki Matsusaka",

note = "Funding Information: We would like to thank Yasuo Ohno and Yoshitaka Sasaki for sending us their preprint and some helpful comments. Further, we thank to Sithembele Nkonkobe for helpful conversations. The authors would like to thank the anonymous referees for carefully reading and helpful comments and suggestions. The second author was supported by JSPS KAKENHI Grant Number JP20K14292. Publisher Copyright: {\textcopyright} The authors.",

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AU - Matsusaka, Toshiki

N1 - Funding Information: We would like to thank Yasuo Ohno and Yoshitaka Sasaki for sending us their preprint and some helpful comments. Further, we thank to Sithembele Nkonkobe for helpful conversations. The authors would like to thank the anonymous referees for carefully reading and helpful comments and suggestions. The second author was supported by JSPS KAKENHI Grant Number JP20K14292. Publisher Copyright: © The authors.

PY - 2021

Y1 - 2021

N2 - In this paper we introduce three combinatorial models for symmetrized poly-Bernoulli numbers. Based on our models we derive generalizations of some identities for poly-Bernoulli numbers. Finally, we set open questions and directions of further studies.

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On the combinatorics of symmetrized poly-bernoulli numbers

Abstract

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