English

Bijective enumerations for symmetrized poly-Bernoulli polynomials

Combinatorics 2021-07-27 v1 Number Theory

Abstract

Recently, B\'{e}nyi and the second author introduced two combinatorial interpretations for symmetrized poly-Bernoulli polynomials. In the present study, we construct bijections between these combinatorial objects. We also define various combinatorial polynomials and prove that all of these polynomials coincide with symmetrized poly-Bernoulli polynomials.

Keywords

Cite

@article{arxiv.2107.11952,
  title  = {Bijective enumerations for symmetrized poly-Bernoulli polynomials},
  author = {Minoru Hirose and Toshiki Matsusaka and Ryutaro Sekigawa and Hyuga Yoshizaki},
  journal= {arXiv preprint arXiv:2107.11952},
  year   = {2021}
}

Comments

15 pages

R2 v1 2026-06-24T04:30:45.315Z