Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions

Abstract

We give new closed and explicit formulas for "multiple zeta values" at non-positive integers of generalized Euler-Zagier multiple zeta-functions. We first prove these formulas for a small convenient class of these multiple zeta-functions and then use the analyticity of the values on the parameters defining the multiple zeta-functions to deduce the formulas in the general case. Also, for our aim we prove an extension of "Raabe's lemma" due to E. Friedman and A. Pereira.

25 pages

References in corpus (1)

• Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points

Cited by in corpus (1)

• Values at non-positive integers of partially twisted multiple zeta-functions I