Geodesic
Combinatorial remarks on the cyclic sum formula for multiple zeta values
Journal of integer sequences, Tome 14 (2011) no. 2
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.
Classification : 11M32, 05A05
Keywords: multiple zeta values, multiple zeta-star values, cyclic sum formula, Lucas numbers 
@article{JIS_2011__14_2_a3,
     author = {Saito,  Shingo and Tanaka,  Tatsushi and Wakabayashi,  Noriko},
     title = {Combinatorial remarks on the cyclic sum formula for multiple zeta values},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {2},
     zbl = {1239.11094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a3/}
}
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Saito,  Shingo; Tanaka,  Tatsushi; Wakabayashi,  Noriko. Combinatorial remarks on the cyclic sum formula for multiple zeta values. Journal of integer sequences, Tome 14 (2011) no. 2. http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a3/