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

โœ Scribed by Yasuo Ohno

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
91 KB
Volume
74
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

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 \c j 0 c 1 +c 2 + } } } +c n =l `(k 1 +c 1 , k 2 +c 2 , ..., k n +c n ).

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