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September 2010 On certain generalized modular forms
Winfried Kohnen
Funct. Approx. Comment. Math. 43(1): 23-29 (September 2010). DOI: 10.7169/facm/1285679143

Abstract

The main result of this note is a characterization of those generalized modular functions of weight zero on $\Gamma_0(N)$ that have empty divisor, in terms of the growth of the exponents in their $q$-product expansion.

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Winfried Kohnen. "On certain generalized modular forms." Funct. Approx. Comment. Math. 43 (1) 23 - 29, September 2010. https://doi.org/10.7169/facm/1285679143

Information

Published: September 2010
First available in Project Euclid: 28 September 2010

zbMATH: 1275.11076
MathSciNet: MR2683571
Digital Object Identifier: 10.7169/facm/1285679143

Subjects:
Primary: 11F30

Keywords: $q$-product expansion , divisor , generalized modular function

Rights: Copyright © 2010 Adam Mickiewicz University

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Vol.43 • No. 1 • September 2010
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