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A note on the Fourier coefficients of half-integral weight modular forms
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Kumar, Narasimha and Purkait, Soma (2014) A note on the Fourier coefficients of half-integral weight modular forms. Archiv der Mathematik, Volume102 (Number4). pp. 369-378. doi:10.1007/s00013-014-0622-8 ISSN 0003-889X.
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Official URL: http://dx.doi.org/10.1007/s00013-014-0622-8
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Archiv der Mathematik | ||||
Publisher: | Birkhaeuser Verlag AG | ||||
ISSN: | 0003-889X | ||||
Official Date: | 1 April 2014 | ||||
Dates: |
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Volume: | Volume102 | ||||
Number: | Number4 | ||||
Page Range: | pp. 369-378 | ||||
DOI: | 10.1007/s00013-014-0622-8 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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