In this paper we shall use the generating functions and the double shuffle relations satisfied by the multiple zeta values to derive some new families of identities of these values.
Haiping Yuan. Jianqiang Zhao. "New families of weighted sum formulas for multiple zeta values." Rocky Mountain J. Math. 45 (6) 2065 - 2096, 2015. https://doi.org/10.1216/RMJ-2015-45-6-2065