Interpolant of truncated multiple zeta functions

Kentaro Ihara, Yayoi Nakamura, Shuji Yamamoto

We introduce an analytic function $\Psi (s_1,\dots ,s_r;w)$ that interpolates truncated multiple zeta functions ${\zeta }_N(s_1,\dots ,s_r)$. We represent this interpolant as a Mellin transfo…