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dc.contributor.authorÖzer, Özen
dc.date.accessioned2021-12-12T17:01:10Z
dc.date.available2021-12-12T17:01:10Z
dc.date.issued2017
dc.identifier.issn1823-8343
dc.identifier.urihttps://hdl.handle.net/20.500.11857/3093
dc.description.abstractIn 2002, Tomita and Yamamuro defined several theorems for fundamental unit of certain real quadratic number fields. Although, there are infinitely many values of d having all 1s in the symmetric part of continued fraction expansion of w(d), Tomita and Yamamuro (1992) had described explicitly one type of d for the fundamental units of the real quadratic fields by using Fibonacci sequence in the Theorem 3 for d equivalent to 2,3(mod4) and in the Theorem 2 in the case of d equivalent to 1(mod4) (2002). The main purpose of this paper is to generalize and provide an improvement of the theorem 3 and the theorem 2 in the paper of Tomita and Yamamuro (2002). Moreover, the present paper deals with new certain formulas for fundamental unit epsilon(d) and Yokoi's d-invariants n(d), m(d) in the relation to continued fraction expansion of w(d) for such real quadratic fields. All results are supported by numerical tables.en_US
dc.language.isoengen_US
dc.publisherUniv Putra Malaysia Pressen_US
dc.relation.ispartofMalaysian Journal of Mathematical Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFibonacci Sequenceen_US
dc.subjectQuadratic Fielden_US
dc.subjectContinued Fractionen_US
dc.subjectFundamental Uniten_US
dc.subjectYokoi's invariantsen_US
dc.titleFibonacci Sequence and Continued Fraction Expansions in Real Quadratic Number Fieldsen_US
dc.typearticle
dc.authoridOZER, Ozen/0000-0001-6476-0664
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.identifier.volume11en_US
dc.identifier.startpage97en_US
dc.identifier.issue1en_US
dc.identifier.endpage118en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.authorscopusid56825400100
dc.identifier.wosWOS:000407929700008en_US
dc.identifier.scopus2-s2.0-85015231374en_US
dc.institutionauthorÖzer, Özen
dc.authorwosidOZER, Ozen/ABB-9945-2020


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