A note on the Fourier coefficients of half-integral weight modular forms

Kumar, N and Purkait, S (2014) A note on the Fourier coefficients of half-integral weight modular forms. Archiv der Mathematik, 102 (4). pp. 369-378. ISSN 0003-889X

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Abstract

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

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