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A converse theorem for quasimodular forms.

Authors :
Charan, Mrityunjoy
Meher, Jaban
Shankhadhar, Karam Deo
Singh, Ranveer Kumar
Source :
Forum Mathematicum. Mar2022, Vol. 34 Issue 2, p547-564. 18p.
Publication Year :
2022

Abstract

In this paper, we consider twisted Dirichlet series attached to quasimodular forms, study their analytic properties, and prove an analogue of Weil's converse theorem for quasimodular forms over congruence subgroups. We also give some applications of our results to a certain q-series and sign changes of the Fourier coefficients of quasimodular forms. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09337741
Volume :
34
Issue :
2
Database :
Academic Search Index
Journal :
Forum Mathematicum
Publication Type :
Academic Journal
Accession number :
155555808
Full Text :
https://doi.org/10.1515/forum-2021-0241