ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS V

Author:

KOMORI YASUSHI,MATSUMOTO KOHJI,TSUMURA HIROFUMI

Abstract

AbstractWe study the values of the zeta-function of the root system of type G2 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Two types of Witten zeta functions;Journal of Mathematical Physics;2024-05-01

2. On $q$-analogues of Zeta Functions of Root Systems II;Tokyo Journal of Mathematics;2023-12-01

3. A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles;Pacific Journal of Mathematics;2020-08-08

4. Evaluation of Tornheim’s type of double series;Illinois Journal of Mathematics;2017-01-01

5. Renormalised conical zeta values;Resurgence, Physics and Numbers;2017

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