English

Symmetrized poly-Bernoulli numbers and combinatorics

Number Theory 2020-03-30 v1 Combinatorics

Abstract

Poly-Bernoulli numbers are one of generalizations of the classical Bernoulli numbers. Since a negative index poly-Bernoulli number is an integer, it is an interesting problem to study this number from combinatorial viewpoint. In this short article, we give a new combinatorial relation between symmetrized poly-Bernoulli numbers and the Dumont-Foata polynomials.

Keywords

Cite

@article{arxiv.2003.12378,
  title  = {Symmetrized poly-Bernoulli numbers and combinatorics},
  author = {Toshiki Matsusaka},
  journal= {arXiv preprint arXiv:2003.12378},
  year   = {2020}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-23T14:29:14.128Z