A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values

Ohno, Yasuo

doi:10.1006/jnth.1998.2314

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A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values

Author(s): Yasuo Ohno

Publication date Created: January 1999

Publication date (Print): January 1999

Journal: Journal of Number Theory

Publisher: Elsevier BV

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

Masanobu Kaneko, Tsuneo ARAKAWA (1999)

We 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.