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

Abstract

In this paper we present a relation among the multiple zeta values which generalizes simultaneously the "sum formula" and the "duality" theorem. As an application, we give a formula for the special values at positive integral points of a certain zeta function of Arakawa and Kaneko in terms of multiple harmonic series. © 1999 Academic Press.