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Paper detail

Fast computation of half-integral weight modular forms

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.

preprint2022arXivOpen access
Ilker InamGabor Wiese
math.NT
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Ilker InamGabor Wiese

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