Applications of stuffle product of multiple zeta values

JOURNAL OF NUMBER THEORY

卷:153

Article

Chen, Kwang-Wu

关键词: Multiple zeta value;    Stuffle product;    Delannoy number;   

DOI  :  10.1016/j.jnt.2015.01.003

来源: Elsevier

【 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.

【 授权许可】

Free