Fast computation of half-integral weight modular forms

Reference : Fast computation of half-integral weight modular forms


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/45708

Title :	Fast computation of half-integral weight modular forms
Language :	English
Author, co-author :	Inam, Ilker []
	Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Publication date :	2022
Journal title :	Rocky Mountain Journal of Mathematics
Publisher :	Rocky Mountain Mathematics Consortium
Volume :	52
Issue/season :	4
Pages :	1395-1401
Peer reviewed :	Yes
Audience :	International
ISSN :	0035-7596
e-ISSN :	1945-3795
City :	Tempe
Country :	AZ
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/45708

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