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arXiv · 2010.11239

Fast computation of half-integral weight modular forms

Ilker Inam·Gabor Wiese
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Abstract

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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Ilker Inam, Gabor Wiese. 2020-10-21. Fast computation of half-integral weight modular forms. https://doi.org/10.1216/rmj.2022.52.1395

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