Fast computation of half-integral weight modular forms
Number Theory
2023-01-23 v3
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.
Cite
@article{arxiv.2010.11239,
title = {Fast computation of half-integral weight modular forms},
author = {Ilker Inam and Gabor Wiese},
journal= {arXiv preprint arXiv:2010.11239},
year = {2023}
}
Comments
v3, 6 pages; added rough complexity estimate