On the combinatorics of symmetrized poly-Bernoulli numbers
Be\'ata B\'enyi, Toshiki Matsusaka
TL;DR
This paper introduces three combinatorial models for symmetrized poly-Bernoulli numbers, generalizes existing identities, and proposes open questions for future research.
Contribution
It presents new combinatorial models for symmetrized poly-Bernoulli numbers and extends known identities in this area.
Findings
Three combinatorial models for symmetrized poly-Bernoulli numbers
Generalizations of identities for poly-Bernoulli numbers
Open questions and future research directions
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.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Advanced Mathematical Theories and Applications