Fast computation of half-integral weight modular forms

[en] 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. In this article, 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.

Disciplines :

Mathematics

Author, co-author :

Inam, Ilker

Wiese, Gabor ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

yes

Language :

English

Title :

Fast computation of half-integral weight modular forms

Publication date :

2022

Journal title :

Rocky Mountain Journal of Mathematics

ISSN :

1945-3795

Publisher :

Rocky Mountain Mathematics Consortium, Tempe, United States - Arizona

Volume :

Issue :

Pages :

1395-1401

Peer reviewed :

Peer reviewed

Available on ORBilu :

since 20 January 2021

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Bibliography

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