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Shifeng Ding
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Lihua Feng
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Weijun Liu
Keywords:
Multiple zeta values, Recursion algorithm, Generating series
Abstract
Let $\zeta(s_1,s_2,\cdots,s_k;\alpha)$ be the multiple Hurwitz zeta function. Given two positive integers $k$ and $n$ with $k\leq n$, 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 $E(2n,k;\alpha)$.