Applications of stuffle product of multiple zeta values

被引：3

作者：

Chen, Kwang-Wu ^{[1
]}

机构：

[1] Univ Taipei, Dept Math, Taipei 10048, Taiwan

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 153卷

关键词：

Multiple zeta value; Stuffle product; Delannoy number; DECOMPOSITION;

D O I：

10.1016/j.jnt.2015.01.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain some formulas for the stuffle product and apply them to derive a decomposition formula for multiple zeta values. Moreover, we give an application to combinatorics and get the following identity: D(n +1, t + 1) + D(n, t) = 2 Sigma D-n(l=0)(t,n - l) + 2 Sigma D-t(l=0)(n, t - l) where D(n, t) is the Delannoy number. (C) 2015 Elsevier Inc. All rights reserved.

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页码：107 / 116

页数：10

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