On the convolutions of sums of multiple zeta(-star) values of height one

Kwang-Wu Chen, Minking Eie

In this paper, we investigate the sums of mutliple zeta(-star) values of height one: $Z_{\pm }(n)={\sum }_{a+b=n}(\pm 1{)}^b\zeta (\{1{\}}^a,b+2)$, $Z_{\pm}^{\star}(n)=\sum_{a+b=n} (\pm 1)^bζ^…