Publication:
Distribution of averages of ramanujan sums

dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorAlkan, Emre
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:08:06Z
dc.date.issued2012
dc.description.abstractThe average value of a certain normalization of Ramanujan sums is determined in terms of Bernoulli numbers and odd values of the Riemann zeta function. The distribution of values and limiting behavior of such a normalization are then studied along subsets of Beurling type integers with positive density and sequences of moduli with constraints on the number of distinct prime factors.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue44986
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipTuba-Gebip of Turkish Academy of Sciences The author is supported by the Distinguished Young Scholar Award, Tuba-Gebip of Turkish Academy of Sciences.
dc.description.volume29
dc.identifier.doi10.1007/s11139-012-9424-4
dc.identifier.issn1382-4090
dc.identifier.scopus2-s2.0-84869109128
dc.identifier.urihttps://doi.org/10.1007/s11139-012-9424-4
dc.identifier.urihttps://hdl.handle.net/20.500.14288/9258
dc.identifier.wos310975300024
dc.keywordsAverages of ramanujan sums
dc.keywordsDistribution of values
dc.keywordsBeurling type integers
dc.keywordsLimiting behavior
dc.keywordsJordan's totient function
dc.keywordsEuler's totient function
dc.keywordsMobius function
dc.keywordsBernoulli numbers
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofRamanujan Journal
dc.subjectMathematics
dc.titleDistribution of averages of ramanujan sums
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorAlkan, Emre
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isParentOrgUnitOfPublicationaf0395b0-7219-4165-a909-7016fa30932d
relation.isParentOrgUnitOfPublication.latestForDiscoveryaf0395b0-7219-4165-a909-7016fa30932d

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