Combinatorial remarks on the cyclic sum formula for multiple zeta values

Details Combinatorial remarks on the cyclic sum formula for multiple zeta values Combinatorial remarks on the cyclic sum formula for multiple zeta values

2010-06-21

arxiv.org/abs/1006.3984v1

Journal of Integer Sequences, vol. 14 (2011), Article 11.2.4

Mathematics

Number Theory

20 pages

Scientific paper

The multiple zeta values are generalizations of the values of the Riemann zeta function at positive integers. They are known to satisfy a number of relations, among which are the cyclic sum formula. The cyclic sum formula can be stratified via linear operators defined by the second and third authors. We give the number of relations belonging to each stratum by combinatorial arguments.

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