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ON THE ZEROS AND COEFFICIENTS OF CERTAIN WEAKLY HOLOMORPHIC MODULAR FORMS

By W. Duke and Paul Jenkins

Abstract

For this paper we assume familiarity with the basics of the theory of modular forms as may be found, for instance, in Serre’s classic introduction [12]. A weakly holomorphic modular form of weight k ∈ 2 Z for Γ = PSL2(Z) is a holomorphic function f on the upper half-plane that satisfie

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.958
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