On Dirichlet series attached to quasimodular forms

被引：4
|
作者：
Bhand, Ajit [1 ]
Shankhadhar, Karam Deo [1 ]
机构：
[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal Bypass Rd, Bhopal 462066, Madhya Pradesh, India
来源：
JOURNAL OF NUMBER THEORY | 2019年 / 202卷
关键词：
Quasimodular forms; Dirichlet series; Converse theorem; Sign changes;
D O I：
10.1016/j.jnt.2019.01.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider Dirichlet series attached to a quasimodular form, study its analytic properties, and generalize Hecke's converse theorem to quasimodular forms of any weight and depth over SL2(Z). Then we discuss some applications of our results to a certain q-series and to sign changes of the Fourier coefficients of quasimodular forms. (C) 2019 Elsevier Inc. All rights reserved.
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页码：91 / 106
页数：16
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