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The number of rational points on singular curves y2 = x(x - a)2 over finite fields Fp

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dc.contributor.authorTekcan, Ahmet
dc.contributor.buuauthorTEKCAN, AHMET
dc.contributor.departmentFen ve Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.scopusid55883777900
dc.date.accessioned2025-08-06T23:38:24Z
dc.date.issued2009-11-01
dc.description.abstractLet p ≥ 5 be a prime number and let F<inf>p</inf> be a finite field. In this work, we determine the number of rational points on singular curves E<inf>a</inf>: y<sup>2</sup> = x(x - a)<sup>2</sup> over F<inf>p</inf> for some specific values of a.
dc.identifier.endpage1000
dc.identifier.issn2010-376X
dc.identifier.scopus2-s2.0-84871178927
dc.identifier.startpage997
dc.identifier.urihttps://hdl.handle.net/11452/53999
dc.identifier.volume35
dc.indexed.scopusScopus
dc.language.isoen
dc.relation.journalWorld Academy of Science Engineering and Technology
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSingular curve
dc.subjectRational points
dc.subjectElliptic curve
dc.subject.scopusReal Quadratic Fields and Pell's Equation
dc.titleThe number of rational points on singular curves y2 = x(x - a)2 over finite fields Fp
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentFen ve Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
relation.isAuthorOfPublication17944028-a562-4782-b38f-cb890c6f31bf
relation.isAuthorOfPublication.latestForDiscovery17944028-a562-4782-b38f-cb890c6f31bf

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