Multiple zeta values, poly-Bernoulli numbers, and related zeta functions

Author:

Arakawa Tsuneo,Kaneko Masanobu

Abstract

AbstractWe study the function and show that the poly-Bernoulli numbers introduced in our previous paper are expressed as special values at negative arguments of certain combinations of these functions. As a consequence of our study, we obtain a series of relations among multiple zeta values.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

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5. Values of zeta functions and their applications;Zagier;in ECM volume, Progress in Math.,1994

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