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Averages of values of L-series

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dc.contributor.coauthorOno, Ken
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.accessioned2024-11-09T12:17:07Z
dc.date.issued2013
dc.description.abstractWe obtain an exact formula for the average of values of L-series over two independent odd characters. The average of any positive moment of values at s = 1 is then expressed in terms of finite cotangent sums subject to congruence conditions. As consequences, bounds on such cotangent sums, limit points for the average of first moment of L-series at s = 1 and the average size of positive moments of character sums related to the class number are deduced.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue1
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA), TÜBA-Gebid
dc.description.versionPublisher version
dc.description.volume152
dc.formatpdf
dc.identifier.doi10.1090/S0002-9939-2012-11506-0
dc.identifier.eissn1088-6826
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00084
dc.identifier.issn0002-9939
dc.identifier.linkhttps://doi.org/10.1090/S0002-9939-2012-11506-0
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-84872718940
dc.identifier.urihttps://hdl.handle.net/20.500.14288/1411
dc.identifier.wos326517300007
dc.keywordsL-series
dc.keywordsSpecial values
dc.keywordsJordan's totient function
dc.keywordsEuler's totient function
dc.keywordsAverages
dc.keywordsGauss sums
dc.keywordsCotangent sums
dc.languageEnglish
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1116
dc.sourceProceedings of the American Mathematical Society
dc.subjectMathematics
dc.subjectApplied mathematics
dc.titleAverages of values of L-series
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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