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The shuffle relation of fractions from multiple zeta values

โœ Scribed by Li Guo; Bingyong Xie

Publisher
Springer US
Year
2011
Tongue
English
Weight
506 KB
Volume
25
Category
Article
ISSN
1382-4090

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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.

The Algebra and Combinatorics of Shuffle
The Algebra and Combinatorics of Shuffles andMultiple Zeta Values
โœ Douglas Bowman; David M. Bradley ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

The algebraic and combinatorial theory of shuffles, introduced by Chen and Ree, is further developed and applied to the study of multiple zeta values. In particular, we establish evaluations for certain sums of cyclically generated multiple zeta values. The boundary case of our result reduces to a f

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