A combinatorial identity of multiple zeta values with even arguments

作者：Ding Shifeng^*; Feng Lihua; Liu Weijun

来源：ELECTRONIC JOURNAL OF COMBINATORICS, 2014, 21(2): P2.27.

DOI：10.37236/3923

• Multiple zeta values
• Recursion algorithm
• Generating series

Let zeta(s(1), s(2), center dot center dot center dot, s(k); alpha) be the multiple Hurwitz zeta function. Given two positive integers k and n with k <= n, let E(2n, k; alpha) be the sum of all multiple zeta values with even arguments whose weight is 2n and whose depth is k. In this note we present some generating series for the numbers E(2n, k; alpha).

• 出版日期2014-5-9
• 单位中南大学