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Pair correlation of sums of rationals with bounded height

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dc.contributor.coauthorXiong, Maosheng
dc.contributor.coauthorZaharescu, Alexandru
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorAlkan, Emre
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Mathematics
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.yokid32803
dc.date.accessioned2024-11-09T13:23:17Z
dc.date.issued2010
dc.description.abstractFor each positive integer Q, let F(Q) denote the Farey sequence of order Q. We prove the existence of the pair correlation measure associated to the sum F(Q) + F(Q) modulo 1, as Q tends to infinity, and compute the corresponding limiting pair correlation function.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue641
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK) Career Award
dc.description.sponsorshipDistinguished Young Scholar Award
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA)-GEBIP of Turkish Academy of Sciences
dc.description.sponsorshipNational Science Foundation
dc.description.versionPublisher version
dc.description.volume2010
dc.formatpdf
dc.identifier.doi10.1515/CRELLE.2010.027
dc.identifier.eissn0075-4102
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR01024
dc.identifier.issn1435-5345
dc.identifier.linkhttps://doi.org/10.1515/CRELLE.2010.027
dc.identifier.quartileN/A
dc.identifier.scopus2-s2.0-77952476966
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3363
dc.identifier.wos277392400002
dc.languageEnglish
dc.publisherDe Gruyter
dc.relation.grantnoDMS-0456615
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/988
dc.sourceJournal für die Reine und angewandte Mathematik
dc.subjectMathematics
dc.titlePair correlation of sums of rationals with bounded height
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0003-1594-041X
local.contributor.kuauthorAlkan, Emre
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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