The algebra and combinatorics of shuffles and multiple zeta values

被引：31
|
作者：
Bowman, D
Bradley, DM
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2002年 / 97卷 / 01期
关键词：
Lie algebra; shuffle; multiple zeta value; iterated integral;
D O I：
10.1006/jcta.2001.3194
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The algebraic and combinatorial theory of shuffles, introduced by Chen and Ree, is further developed and applied to the study of multiple zeta values. In particular, we establish evaluations for certain sums of cyclically generated multiple zeta values. The boundary case of our result reduces to a former conjecture of Zagier. (C) 2002 Elsevier Science.
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页码：43 / 61
页数：19
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