Multiple zeta values and Euler sums

Ce Xu

Published 2016-09-16Version 1

In this paper, by using the method of iterated integral representations of series, we establish some expressions of series involving harmonic numbers and Stirling numbers of the first kind in terms of multiple zeta values. Furthermore, we can obtain some closed form representations of sums of products of harmonic numbers through Riemann zeta values and linear sums, and some explicit relationships between multiple zeta star values and multiple zeta values are established.