DETERMINANT EXPRESSION OF SELBERG ZETA FUNCTIONS(III)

被引：9

作者：

KOYAMA, SY ^{[1
]}

机构：

[1] TOKYO INST TECHNOL,DEPT MATH,MEGURO KU,TOKYO 152,JAPAN

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 113卷 / 02期

关键词：

D O I：

10.2307/2048513

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will prove that for PSL(2, R) and its cofinite subgroup, the Selberg zeta function is expressed by the determinant of the Laplacian. We will also give an explicit calculation in case of congruence subgroups, and deduce that the part of the determinant of the Laplacian composed of the continuous spectrum is expressed by Dirichlet L-functions.

引用

页码：303 / 311

页数：9

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