NEW BOUNDS FOR FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS

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dc.contributor.authorIsikay, Sevcan
dc.contributor.authorPekin, Ayten
dc.date.accessioned2025-10-29T11:08:06Z
dc.date.issued2021
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractIn this paper, we present new bounds on the fundamental units of real quadratic fields Q(root d) using the continued fraction expansion of the integral basis element of the field. Furthermore, we apply these bounds to Dirichlet's class number formula. Consequently, we provide computational advantages to estimate the class numbers of such fields. We also give some numerical examples.
dc.identifier.doi10.4134/BKMS.b200744
dc.identifier.endpage1161
dc.identifier.issn1015-8634
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85112657356
dc.identifier.scopusqualityQ3
dc.identifier.startpage1149
dc.identifier.urihttps://doi.org/10.4134/BKMS.b200744
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5221
dc.identifier.volume58
dc.identifier.wosWOS:000704184600007
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherKorean Mathematical Soc
dc.relation.ispartofBulletin of the Korean Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectContinued fraction
dc.subjectclass number
dc.subjectfundamental unit
dc.subjectreal quadratic field
dc.titleNEW BOUNDS FOR FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS
dc.typeArticle

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