A note on the Fourier coefficients of half-integral weight modular forms
A note on the Fourier coefficients of half-integral weight modular forms
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关于半积分权模形式的傅立叶系数的注记
DOI：
10.1007/s00013-014-0622-8
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发表时间：
2013
影响因子：
0.6
通讯作者：
S. Purkait
中科院分区：
文献类型：
--
作者：
Narasimha Kumar;S. Purkait
本文证明了半整权模形式的Fourier系数的代数性可以通过检验前几个系数的代数性来确定。在只考虑多项的情况下，给出了半整权模形式在Kohnen的+-子空间中的一个充要条件。
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.