DIFFERENTIAL OPERATORS ON MODULAR FORMS ASSOCIATED TO THETA SERIES

被引：0
|
作者：
Lee, Min Ho [1 ]
机构：
[1] Univ Northern Iowa, Dept Math, Cedar Falls, IA 50614 USA
来源：
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2015年 / 52卷 / 01期
关键词：
modular forms; theta series; Jacobi-like forms; quasimodular forms;
D O I：
10.7169/facm/2015.52.1.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct an operator on modular forms by modifying the derivative operator using certain theta series. To show that the image of a modular form under this operator is a modular form we use Jacobi-like forms determined by theta series as well as quasimodular forms obtained from such Jacobi-like forms.
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页码：75 / 82
页数：8
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