Selberg type zeta function for the Hilbert modular group of a real quadratic field

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Yasuro Gon¹ 

[1] Faculty of Mathematics, Kyushu University

关键词: Hilbert modular group;    Selberg zeta function.;   

DOI  :  10.3792/pjaa.88.145

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

In this article we announce fundamental results of Selberg type zeta functions for the Hilbert modular group of a real quadratic field; the meromorphic extension over $\mathbf{C}$, its functional equation and some arithmetic applications.

【 授权许可】

Unknown