A Note on the Fourier coefficients of half-integral weight modular forms
| Autor: | Kumar, Narasimha, Purkait, Soma |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Arch. Math. (Basel) 102 (2014), no. 4, 369-378 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00013-014-0622-8 |
| Popis: | 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. Comment: To appear in Archiv der Mathematik |
| Databáze: | arXiv |
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