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The Algebra and Combinatorics of Shuffles andMultiple Zeta Values

โœ Scribed by Douglas Bowman; David M. Bradley


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
155 KB
Volume
97
Category
Article
ISSN
0097-3165

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โœฆ Synopsis


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 former conjecture of Zagier.


๐Ÿ“œ SIMILAR VOLUMES


A Generalization of the Duality and Sum
โœ Yasuo Ohno ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

In this paper we present a relation among the multiple zeta values which generalizes simultaneously the ``sum formula'' and the ``duality'' theorem. As an application, we give a formula for the special values at positive integral points of a certain zeta function of Arakawa and Kaneko in terms of mu