A combinatorial identity of multiple zeta values with even arguments
Summary: 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 \(E(2n,k;\alpha)\).
scientific article; zbMATH DE number 6340194