FAST COMPUTATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS

被引：1

作者：

Inam, Ilker ^{[1
]}

Wiese, Gabor ^{[2
]}

机构：

[1] Bilecik Seyh Edebali Univ, Dept Math, Bilecik, Turkey

[2] Univ Luxembourg, Dept Math, Esch Sur Alzette, Luxembourg

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2022年 / 52卷 / 04期

关键词：

modular forms of half-integral weight; Fourier coefficients; computation; Rankin-Cohen operators; VALUES;

D O I：

10.1216/rmj.2022.52.1395

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to be able to compute a large number of Fourier coefficients. We show that this can be achieved in level 4 for a large range of half-integral weights by making use of one of three explicit bases, the elements of which can be calculated via fast power series operations.

引用

页码：1395 / 1401

页数：7

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