Reference : Fast computation of half-integral weight modular forms
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Physical, chemical, mathematical & earth Sciences : Mathematics
Fast computation of half-integral weight modular forms
Inam, Ilker []
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
[en] To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, we exhibit three bases for the space of modular forms of any half-integral weight and level 4, which have the property that many coefficients can be computed (relatively) quickly on a computer.

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