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Quadratic relations for aq-analogue of multiple zeta values

✍ Scribed by Yoshihiro Takeyama

Publisher
Springer US
Year
2011
Tongue
English
Weight
562 KB
Volume
27
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES

Duality and double shuffle relations of
Duality and double shuffle relations of multiple zeta values
✍ Jun Kajikawa πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 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
✍ Michael E. Hoffman; Yasuo Ohno πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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