Combinatorial remarks on the cyclic sum formula for multiple zeta values
Number Theory
2011-03-11 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.1006.3984,
title = {Combinatorial remarks on the cyclic sum formula for multiple zeta values},
author = {Shingo Saito and Tatsushi Tanaka and Noriko Wakabayashi},
journal= {arXiv preprint arXiv:1006.3984},
year = {2011}
}
Comments
20 pages