Symmetrized poly-Bernoulli numbers and combinatorics

Published 27 Mar 2020 in math.NT and math.CO | (2003.12378v1)

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.

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Toshiki Matsusaka

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