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

Abstract

We study the behavior of partially twisted multiple zeta-functions. We give new closed and explicit formulas for special values at non-positive integer points of such zeta-functions. Our method is based on a result of M. de Crisenoy on the fully twisted case and the Mellin-Barnes integral formula.

21pages. arXiv admin note: substantial text overlap with arXiv:1703.07525

References in corpus (3)

• Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of p-adic multiple L-functions at arbitrary integers
• Laurent series expansions of multiple zeta-functions of Euler-Zagier type at integer points
• Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions