Combinatorial Remarks on the Cyclic Sum Formula for Multiple Zeta Values
Shingo Saito and Tatsushi Tanaka
Faculty of Mathematics
744, Motooka, Nishi-ku
Faculty of Engineering
Kyushu Sangyo University
3-1, Matsukadai 2-chome, Higashi-ku
The multiple zeta values are generalizations of the values of the Riemann zeta
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.
Full version: pdf,
(Concerned with sequences
Received June 20 2010;
revised version received February 2 2011.
Published in Journal of Integer Sequences, February 20 2011.
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