Values at non-positive integers of partially twisted multiple zeta-functions I
Number Theory
2018-12-12 v1
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.
Keywords
Cite
@article{arxiv.1812.04494,
title = {Values at non-positive integers of partially twisted multiple zeta-functions I},
author = {Driss Essouabri and Kohji Matsumoto},
journal= {arXiv preprint arXiv:1812.04494},
year = {2018}
}
Comments
21pages. arXiv admin note: substantial text overlap with arXiv:1703.07525