On generalized modular forms supported on cuspidal and elliptic points

Details On generalized modular forms supported on cuspidal and elliptic points On generalized modular forms supported on cuspidal and elliptic points

2010-07-29

arxiv.org/abs/1007.5257v1

Mathematics

Number Theory

12 pages

Scientific paper

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.

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