On generalized modular forms supported on cuspidal and elliptic points

In this paper, we extend previous results to prove that generalized modular forms with rational Fourier expansions whose divisors are supported only at the cusps and certain other points in the upper half plane are actually classical modular forms. We discuss possible limitations to this extension a...

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Bibliographic Details
Published in:arXiv.org 2010-07
Main Authors: Kilford, L J P, Raji, Wissam
Format: Article
Language:English
Subjects:
Analytic functions
Cusps
Online Access:Get full text
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Summary:In this paper, we extend previous results to prove that generalized modular forms with rational Fourier expansions whose divisors are supported only at the cusps and certain other points in the upper half plane are actually classical modular forms. We discuss possible limitations to this extension and pose questions about possible zeroes for modular forms of prime level.
ISSN:2331-8422