On the common zeros of quasi-modular forms for Γ0+(N) of level N=1, 2, 3

被引：0
|
作者：
Im, Bo-Hae [2 ]
Kim, Hojin [2 ]
Lee, Wonwoong [1 ]
机构：
[1] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China
[2] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea
来源：
OPEN MATHEMATICS | 2024年 / 22卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
modular forms; quasi-modular forms; Fricke group; EISENSTEIN SERIES; CRITICAL-POINTS;
D O I：
10.1515/math-2024-0065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study common zeros of the iterated derivatives of the Eisenstein series for Gamma(+)(0)(N) of level N=1,2, and 3, which are quasi-modular forms. More precisely, we investigate the common zeros of quasi-modular forms and prove that all the zeros of the iterated derivatives of the Eisenstein series theta E-m(k)(N) of weight k=2, 4, 6 for Gamma(+)(0) (N) of level N=2, 3 are simple by generalizing the results of Meher and Gun-Oesterl & eacute; for SL2(Z).
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页数：21
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