The Algebra and Combinatorics of Shuffles and Multiple Zeta Values

Details The Algebra and Combinatorics of Shuffles and Multiple Zeta Values The Algebra and Combinatorics of Shuffles and Multiple Zeta Values

2003-10-06

arxiv.org/abs/math/0310082v1

Journal of Combinatorial Theory, Series A, Vol. 97 (2002), no. 1, pp. 43-61. MR1879045 (2003j:05010)

Mathematics

Combinatorics

21 pages, available online at http://www.idealibrary.com

Scientific paper

10.1006/jcta.2001.3194

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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