English

On Witten multiple zeta-functions associated with semisimple Lie algebras V

Number Theory 2016-04-29 v1

Abstract

We study the values of the zeta-function of the root system of type G2G_2 at positive integer points. In our previous work we considered the case when all integers are even, but in the present paper we prove several theorems which include the situation when some of the integers are odd. The underlying reason why we may treat such cases including odd integers is also discussed.

Keywords

Cite

@article{arxiv.1302.4285,
  title  = {On Witten multiple zeta-functions associated with semisimple Lie algebras V},
  author = {Yasushi Komori and Kohji Matsumoto and Hirofumi Tsumura},
  journal= {arXiv preprint arXiv:1302.4285},
  year   = {2016}
}