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Mixed Tate motives and multiple zeta values

โœ Scribed by Tomohide Terasoma

Publisher
Springer-Verlag
Year
2002
Tongue
English
Weight
267 KB
Volume
149
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES

Duality and double shuffle relations of
Duality and double shuffle relations of multiple zeta values
โœ Jun Kajikawa ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

We prove that certain families of duality relations of the multiple zeta values (MZV's) are consequences of the extended double shuffle relations (EDSR's), thereby proving a part of the conjecture that the EDSR's give all linear relations of the MZV's.

Relations of multiple zeta values and th
Relations of multiple zeta values and their algebraic expression
โœ Michael E. Hoffman; Yasuo Ohno ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB

We establish a new class of relations, which we call the cyclic sum identities, among the multiple zeta values ). These identities have an elementary proof and imply the "sum theorem" for multiple zeta values. They also have a succinct statement in terms of "cyclic derivations" as introduced by Rot

A Generalization of the Duality and Sum
A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values
โœ Yasuo Ohno ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

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 mu