Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima’s $L$-functions

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Yukihiro Hattori¹  Hideaki Morita¹ 

[1] Unit of Mathematical Science, Muroran Institute of Technology

关键词: noncommutative residue;    canonical trace;    noncommutative tori;    pseudodifferential operators;   

DOI  :  10.3792/pjaa.92.107

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

A complex reflection determines an $L$-function which is a generalization of the Artin-Mazur zeta function associated with an element of the symmetric group. The present paper shows that the $L$-function is the Ruelle zeta function associated with a weighted $\mathbf{Z}$-dynamical system.

【 授权许可】

Unknown