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Fast computation of half-integral weight modular forms (2010.11239v3)
Published 21 Oct 2020 in math.NT
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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