Combinatorial remarks on the cyclic sum formula for multiple zeta values

Shingo Saito, Tatsushi Tanaka, Noriko Wakabayashi

Published 2010-06-21Version 1

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.