Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers

Abstract

In this article, we introduce combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers of both kinds. As their applications, we provide combinatorial proofs of some identities involving poly-Bernoulli polynomials.

arXiv comment17 pages, to appear in Journal de Théorie des Nombres de Bordeaux, This article is an improvement of the first half of arXiv:2106.05585v1