On three general forms of multiple zeta(-star) values

Abstract

In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height $\le 2$ and the evaluation of ${\zeta }^{\star }(\{1{\}}^m,\{2{\}}^{n+1})$. We also give a new proof of sum formula of multiple zeta values.

18 pages