A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halasz' Theorem

Reference : A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halasz' Theorem


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/19222

Title :	A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halasz' Theorem
Language :	English
Author, co-author :	Inam, lker []
	Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2016
Journal title :	International Journal of Number Theory
Publisher :	World Scientific Publishing Company
Volume :	12
Issue/season :	2
Pages :	357-360
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	1793-0421
Abstract :	[en] In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by using a consequence of Halász' Theorem. Moreover, applying a result of Serre we remove all unproved assumptions.
Permalink :	http://hdl.handle.net/10993/19222
DOI :	10.1142/S1793042116500214

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