On certain generalized modular forms

Type: Article

Publication Date: 2010-09-01

Citations: 21

DOI: https://doi.org/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.

Locations

  • Functiones et Approximatio Commentarii Mathematici - View - PDF

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