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
โฆ LIBER โฆ
The Algebra and Combinatorics of Shuffles andMultiple Zeta Values
โ 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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โฆ 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.
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