On the zeros of Eisenstein series for Γ0(2) and Γ0(3)

被引：34

作者：

Miezaki, Tsuyoshi ^{[1
]}

Nozaki, Hiroshi ^{[1
]}

Shigezumi, Junichi ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Higashi Ku, Fukuoka 8128581, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2007年 / 59卷 / 03期

关键词：

eisenstein series; Fricke group; locating zeros; modular forms;

D O I：

10.2969/jmsj/05930693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We locate all of the zeros of the Eisenstein series associated with the Fricke groups Gamma(0)*(2) and Gamma(0)*(3) in their fundamental domains by applying and expanding the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer ("On the zeros of Eisenstein series", 1970).

引用

页码：693 / 706

页数：14

On the zeros of Eisenstein series for Γ*0(2) and Γ*0(3)

On the zeros of Eisenstein series for Γ0(2) and Γ0(3)