In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modular forms can be determined by checking the algebraicity of the first few of them. We also give a necessary and sufficient condition for a half-integral weight modular form to be in Kohnen's +-subspace by considering only finitely many terms. © 2014 Springer Basel.

VG Narasimha Kumar Cheraku

Department of Mathematics

S. Purkait

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Journal	Archiv der Mathematik
Publisher	Birkhauser Verlag AG
ISSN	0003889X