A short note on the Bruiner-Kohnen sign equidistribution conjecture and Halasz' theorem

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dc.authorid0000-0001-5106-6737
dc.contributor.authorInam, Ilker
dc.contributor.authorWiese, Gabor
dc.date.accessioned2025-05-20T18:56:08Z
dc.date.issued2016
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractIn 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 Halasz' theorem. Moreover, by applying a result of Serre, we remove all unproved assumptions.
dc.description.sponsorshipFonds National de la Recherche Luxembourg [INTER/DFG/12/10/COMFGREP]
dc.description.sponsorshipThe first author would like to thank Kaisa Matomaki for having suggested this alternative approach to the problem. Both authors thank her for having drawn their attention again to Serre's article [7]. The authors thank the referee for a careful reading of the article. The second author acknowledges partial support by the Fonds National de la Recherche Luxembourg (INTER/DFG/12/10/COMFGREP).
dc.identifier.doi10.1142/S1793042116500214
dc.identifier.endpage360
dc.identifier.issn1793-0421
dc.identifier.issn1793-7310
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84959180924
dc.identifier.scopusqualityQ3
dc.identifier.startpage357
dc.identifier.urihttps://doi.org/10.1142/S1793042116500214
dc.identifier.urihttps://hdl.handle.net/11552/7590
dc.identifier.volume12
dc.identifier.wosWOS:000370975200004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Number Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectHalf-integral weight modular forms
dc.subjectShimura lift
dc.subjectSato-Tate equidistribution
dc.subjectFourier coefficients of modular forms
dc.subjectHecke eigenforms
dc.titleA short note on the Bruiner-Kohnen sign equidistribution conjecture and Halasz' theorem
dc.typeArticle

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