Functiones et Approximatio Commentarii Mathematici

On certain generalized modular forms

Winfried Kohnen

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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.

Article information

Funct. Approx. Comment. Math., Volume 43, Number 1 (2010), 23-29.

First available in Project Euclid: 28 September 2010

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Zentralblatt MATH identifier

Primary: 11F30: Fourier coefficients of automorphic forms

generalized modular function $q$-product expansion divisor


Kohnen, Winfried. On certain generalized modular forms. Funct. Approx. Comment. Math. 43 (2010), no. 1, 23--29. doi:10.7169/facm/1285679143.

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