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Regularized double shuffle and Ohno–Zagier relations of multiple zeta values

✍ Scribed by Zhong-hua Li

Book ID
118118975
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
206 KB
Volume
133
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

Duality and double shuffle relations of
Duality and double shuffle relations of multiple zeta values
✍ Jun Kajikawa 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 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 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 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