Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points (Q2182429)

The Euler-Zagier zeta function is defined by \[ \zeta(s_1,\dots,s_r)=\sum_{0<n_1<n_2<\dots<n_r}\frac{1}{n_1^{s_1}n_2^{s_2}\cdots n_r^{s_r}}, \] where $(s_1,\dots,s_r)\in \mathbb{C}^r$. In this paper the authors studied the Laurent series expansions of the Euler-Zagier zeta function at any integer points. They gave explicit descriptions about the coefficients of the Laurent series expansions.