Elliptic divisibility sequences in certain ranks over finite fields

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dc.contributor.buuauthorGezer, Betül
dc.contributor.buuauthorBizim, Osman
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.tr_TR
dc.contributor.researcheridAAH-1547-2021tr_TR
dc.contributor.researcheridAAH-1468-2021tr_TR
dc.contributor.scopusid24485316600tr_TR
dc.contributor.scopusid9245697900tr_TR
dc.date.accessioned2022-04-27T10:24:10Z
dc.date.available2022-04-27T10:24:10Z
dc.date.issued2009-08
dc.description.abstractWe develop techniques first studied by Morgan Ward to characterize sequences which arise from elliptic curves and which contain a zero term. We first define elliptic divisibility sequences over finite fields by noting that they are not the sequences which arise by reduction from integer sequences. After that, we give general terms of these sequences over the finite fields F(p) (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.en_US
dc.identifier.citationGezer, B. ve Bizim, O. (2009). "Elliptic divisibility sequences in certain ranks over finite fields". Hacettepe Journal of Mathematics and Statistics, 38(2), 161-171.tr_TR
dc.identifier.endpage171tr_TR
dc.identifier.issn1303-5010
dc.identifier.issue2tr_TR
dc.identifier.scopus2-s2.0-73249123358tr_TR
dc.identifier.startpage161tr_TR
dc.identifier.urihttp://www.hjms.hacettepe.edu.tr/uploads/b5af8d4d-1a2d-490e-99ff-3a4da4d3950a.pdf
dc.identifier.urihttp://hdl.handle.net/11452/26171
dc.identifier.volume38tr_TR
dc.identifier.wos000270451300008tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.trdizinTrDizintr_TR
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherHacettepe Üniversitesitr_TR
dc.relation.journalHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.relation.tubitak107T311tr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectElliptic curvesen_US
dc.subjectElliptic divisibility sequencesen_US
dc.subjectSingular curvesen_US
dc.subjectSingular sequencesen_US
dc.subjectMathematicsen_US
dc.subject.scopusSet; ABC Conjecture; Divisibilityen_US
dc.subject.wosMathematicsen_US
dc.subject.wosStatistics & probabilityen_US
dc.titleElliptic divisibility sequences in certain ranks over finite fieldsen_US
dc.typeArticle
dc.wos.quartileQ4en_US

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