Publication:
On conjectures of Sato-Tate and Bruinier-Kohnen

dc.contributor.authorArias, Reyna de Sara
dc.contributor.authorWiese, Gabor
dc.contributor.buuauthorInam, Ilker
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0001-5765-1718
dc.contributor.scopusid25925069700
dc.date.accessioned2023-10-19T08:31:01Z
dc.date.available2023-10-19T08:31:01Z
dc.date.issued2015-04
dc.description.abstractThis article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and related subsets of the set of natural numbers. (2) It extends previous results on a conjecture of Bruinier and Kohnen in three ways: the CM-case is included; under the assumption of the same error term as in previous work one obtains the result in terms of natural density instead of Dedekind-Dirichlet density; the latter type of density can already be achieved by an error term like in the prime number theorem. (3) It also provides a complete proof of Sato-Tate equidistribution for CM modular forms with an error term similar to that in the prime number theorem.
dc.description.sponsorshipGerman Research Foundation (DFG) (1489)
dc.description.sponsorshipSpanish Government (MTM2012-33830)
dc.identifier.citationArias-de-Reyna, S. vd. (2015). "On conjectures of Sato-Tate and Bruinier-Kohnen". Ramanujan Journal, 36(3), 455-481.
dc.identifier.endpage481
dc.identifier.issn1382-4090
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84893849229
dc.identifier.startpage455
dc.identifier.urihttps://doi.org/10.1007/s11139-013-9547-2
dc.identifier.urihttps://link.springer.com/article/10.1007/s11139-013-9547-2
dc.identifier.urihttp://hdl.handle.net/11452/34451
dc.identifier.volume36
dc.identifier.wos000350667300006
dc.indexed.scopusScopus
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherSpringer
dc.relation.bapUAP(F) 2012/15
dc.relation.collaborationYurt dışı
dc.relation.journalRamanujan Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.relation.tubitakTÜBİTAK (2219)
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics
dc.subjectHalf-integral weight modular forms
dc.subjectShimura lift
dc.subjectSato-Tate equidistribution
dc.subjectFourier coefficients of modular forms
dc.subjectDensity of sets of primes
dc.subjectHalf-integral weight
dc.subjectModular-forms
dc.subjectFourier coefficients
dc.subjectPrime-numbers
dc.subjectValues
dc.subject.scopusCusp form; L-function; Fourier coefficients
dc.subject.wosMathematics
dc.titleOn conjectures of Sato-Tate and Bruinier-Kohnen
dc.typeArticle
dc.wos.quartileQ3
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atWOS
local.indexed.atScopus

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