Sum formulas of mltiple zeta values with arguments are multiple of a positive integer

Kwang-Wu Chen, Chan-Liang Chung, Minking Eie

For $k\le n$, let $E(mn,k)$ be the sum of all multiple zeta values of depth $k$ and weight $mn$ with arguments are multiples of $m\ge 2$. More precisely, $E(mn,k)=\sum_{|\boldsym…