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
Duality and double shuffle relations of multiple zeta values
β Scribed by Jun Kajikawa
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 94 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
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