Combinatorial Remarks on the Cyclic Sum Formula for Multiple Zeta Values

被引：0

作者：

Saito, Shingo ^{[1
]}

Tanaka, Tatsushi ^{[1
]}

Wakabayashi, Noriko ^{[2
]}

机构：

[1] Kyushu Univ, Fac Math, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan

[2] Kyushu Sangyo Univ, Fac Engn, Higashi Ku, Fukuoka 8138503, Japan

来源：

JOURNAL OF INTEGER SEQUENCES | 2011年 / 14卷 / 02期

关键词：

multiple zeta values; multiple zeta; star values; cyclic sum formula; Lucas numbers;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：20

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