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Divisor function and bounds in domains with enough primes

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorGöral, Haydar
dc.contributor.kuprofileMaster Student
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T12:45:03Z
dc.date.issued2019
dc.description.abstractIn this note, first we show that there is no uniform divisor bound for the Bezout identity using Dirichlet's theorem on arithmetic progressions. Then, we discuss for which rings the absolute value bound for the Bezout identity is not trivial and the answer depends on the number of small primes in the ring.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.indexedbyTR Dizin
dc.description.issue2
dc.description.openaccessYES
dc.description.publisherscopeNational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipValCoMo
dc.description.sponsorshipMALOA
dc.description.versionPublisher version
dc.description.volume48
dc.formatpdf
dc.identifier.doi10.15672/HJMS.2017.529
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR01797
dc.identifier.issn1303-5010
dc.identifier.linkhttps://doi.org/10.15672/HJMS.2017.529
dc.identifier.quartileQ3
dc.identifier.scopus2-s2.0-85073880845
dc.identifier.urihttps://hdl.handle.net/20.500.14288/2426
dc.identifier.wos464826600006
dc.keywordsDivisor function
dc.keywordsArithmetic progression
dc.keywordsPolynomials
dc.keywordsUnique factorization domain
dc.languageEnglish
dc.publisherHacettepe Üniversitesi
dc.relation.grantnoANR-13-BS01-0006
dc.relation.grantnoPITN-GA-2009-238381
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/8421
dc.sourceHacettepe Journal of Mathematics and Statistics
dc.subjectMathematics
dc.subjectStatistics and probability
dc.titleDivisor function and bounds in domains with enough primes
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorGöral, Haydar
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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