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On the distributions of sigma(N)/N and N/Phi(N)

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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.accessioned2024-11-09T13:47:30Z
dc.date.issued2013
dc.description.abstractWe prove that the distribution functions of sigma(n)/n and n/phi(n) both have super-exponential asymptotic decay when n ranges over certain subsets of integers, which, in particular, can be taken as the set of l-free integers not divisible by a thin subset of primes.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipTurkish Academy of Sciences (TÜBA), TÜBA-Gedip
dc.description.versionPublisher version
dc.description.volume43
dc.formatpdf
dc.identifier.doi10.1216/RMJ-2013-43-3-713
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00055
dc.identifier.issn0035-7596
dc.identifier.linkhttps://doi.org/10.1216/RMJ-2013-43-3-713
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-84882573256
dc.identifier.urihttps://hdl.handle.net/20.500.14288/3771
dc.identifier.wos322719800002
dc.keywordsDistributions
dc.keywordsDensity
dc.keywordsSum of divisors function
dc.keywordsEuler's totient function
dc.keywordsArithmetic progressions
dc.keywordsl-free integers
dc.keywordsDiophantine approximation
dc.keywordsArithmetic functions
dc.languageEnglish
dc.publisherRocky Mountain Mathematics Consortium
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1087
dc.sourceRocky Mountain Journal of Mathematics
dc.subjectMathematics
dc.titleOn the distributions of sigma(N)/N and N/Phi(N)
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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