Interpolant of truncated multiple zeta functions

Kentaro Ihara, Yayoi Nakamura, Shuji Yamamoto

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