A simple method to extract zeros of certain Eisenstein series of small level

被引：0

作者：

Chattopadhyaya, A. Radhita ^{[1
,2
]}

机构：

[1] Indian Inst Sci, Dept Ctr High Energy Phys, Bangalore 560012, Karnataka, India

[2] Trinity Coll Dublin, Dept Math, Dublin, Ireland

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2020年 / 130卷 / 01期

关键词：

Zeros of Eisenstein series; zeros of modular forms of Gamma(0)(N); COUPLINGS; ALGEBRAS;

D O I：

10.1007/s12044-019-0530-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper provides a simple method to extract the zeros of some weight two Eisenstein series of level N where N = 2, 3, 5 and 7. The method is based on the observation that these Eisenstein series are integral over the graded algebra of modular forms on SL(2, Z) and their zeros are 'controlled' by those of E4 and E6 in the fundamental domain of Gamma(0)(N).

引用

页数：9

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