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A bias phenomenon on the behavior of Dedekind sums

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dc.contributor.coauthorXiong, Maosheng
dc.contributor.coauthorZaharescu, Alexandru
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultymemberYes
dc.contributor.kuauthorAlkan, Emre
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T22:57:20Z
dc.date.issued2008
dc.description.abstractIn this paper we present a bias phenomenon on the behavior of Dedekind sums at visible points in a dilated region. Our results indicate that in more than three quarters of the time the Dedekind sum increases as one moves from one visible point to the next.
dc.description.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.openaccessNO
dc.description.peerreviewstatusN/A
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipNSF [DMS-0456615]
dc.description.sponsorshipCNCSIS [GR106/2007, code 1116]
dc.description.sponsorshipRomanian Ministry of Education and Research The last author was supported by NSF grant number DMS-0456615, and by CNCSIS grant GR106/2007, code 1116, of the Romanian Ministry of Education and Research.
dc.description.versionN/A
dc.identifier.doi10.4310/MRL.2008.v15.n5.a16
dc.identifier.eissn1945-001X
dc.identifier.embargoN/A
dc.identifier.issn1073-2780
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-59349102683
dc.identifier.urihttps://doi.org/10.4310/MRL.2008.v15.n5.a16
dc.identifier.urihttps://hdl.handle.net/20.500.14288/7537
dc.identifier.wos262382600016
dc.keywordsDedekind sums
dc.keywordsKloosterman sums
dc.keywordsVisible points continued fractions
dc.language.isoeng
dc.publisherInt Press Boston, Inc
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofMathematical Research Letters
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectMathematics
dc.titleA bias phenomenon on the behavior of Dedekind sums
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorAlkan, Emre
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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