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An exotic shuffle relation for multiple zeta values

โœ Scribed by Jianqiang Zhao

Publisher
Springer
Year
2008
Tongue
English
Weight
146 KB
Volume
91
Category
Article
ISSN
0003-889X

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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.

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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