# On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application

Masanobu Kaneko, Fumi Sakurai, Hirofumi Tsumura

3 被引用数 (Scopus)

## 抄録

We prove a duality formula for certain sums of values of poly-Bernoulli polynomials which generalizes dualities for poly-Bernoulli numbers. We first compute two types of generating functions for these sums, from which the duality formula is apparent. Secondly we give an analytic proof of the duality from the viewpoint of our previous study of zeta functions of Arakawa–Kaneko type. As an application, we give a formula that relates poly-Bernoulli numbers to the Genocchi numbers.

本文言語 英語 203-218 16 Journal de Theorie des Nombres de Bordeaux 30 1 https://doi.org/10.5802/jtnb.1023 出版済み - 2018

• 代数と数論

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