dc.contributor.author | Özer, Özen | |
dc.date.accessioned | 2021-12-12T17:01:10Z | |
dc.date.available | 2021-12-12T17:01:10Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1823-8343 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11857/3093 | |
dc.description.abstract | In 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.iso | eng | en_US |
dc.publisher | Univ Putra Malaysia Press | en_US |
dc.relation.ispartof | Malaysian Journal of Mathematical Sciences | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Fibonacci Sequence | en_US |
dc.subject | Quadratic Field | en_US |
dc.subject | Continued Fraction | en_US |
dc.subject | Fundamental Unit | en_US |
dc.subject | Yokoi's invariants | en_US |
dc.title | Fibonacci Sequence and Continued Fraction Expansions in Real Quadratic Number Fields | en_US |
dc.type | article | |
dc.authorid | OZER, Ozen/0000-0001-6476-0664 | |
dc.department | Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü | |
dc.identifier.volume | 11 | en_US |
dc.identifier.startpage | 97 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.endpage | 118 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 56825400100 | |
dc.identifier.wos | WOS:000407929700008 | en_US |
dc.identifier.scopus | 2-s2.0-85015231374 | en_US |
dc.institutionauthor | Özer, Özen | |
dc.authorwosid | OZER, Ozen/ABB-9945-2020 | |