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

2018/12/10 by Essouabri, Driss, Matsumoto, Kohji · 1 citation
#11M32 #11M41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1812.04494

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.

Cited by

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

Related

• Values at non-positive integers of partially twisted multiple zeta-functions II
• Values of multiple zeta-functions with polynomial denominators at non-positive integers
• Values at non-positive integers of generalized Euler-Zagier multiple zeta-functions
• Multiple zeta functions at regular integer points
• Special values of generalized multiple Hurwitz zeta function at non-positive integers