Duality Theorems of Multiple Zeta Values with Parameters

New Zealand Journal of Mathematics (Online)

Chan-Liang Chung ; Minking Eie

关键词: multiple zeta value;    duality theorem;    sum formula.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In this paper, we introduce the method of adding additional factors and a parameter to multiple zeta values and prove some generalizations of the duality theorem and several relations among multiple zeta values. In particular, we are able to evaluate some special (truncated) sums in terms of Riemann zeta values of different weights.

【 授权许可】

Unknown