论文标题
快速计算半综合体重模块化形式
Fast computation of half-integral weight modular forms
论文作者
论文摘要
为了研究模块化形式的统计特性，包括例如Sato-Tate问题，必须具有大量的傅立叶系数。在本文中，我们展示了三个基础，用于任何半融合重量和4级的模块化形式的空间，它们具有可以在计算机上（相对较快）计算许多系数的属性。
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.
