Publication:
The diophantine equation y2 - 2yx - 3 = 0 and corresponding curves over Fp

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dc.contributor.authorTekcan, A.
dc.contributor.authorÖzkoç, A.
dc.contributor.authorAlkan, H.
dc.contributor.buuauthorTEKCAN, AHMET
dc.contributor.buuauthorAlkan, Hatice
dc.contributor.buuauthorÖzkoç, Arzu
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.contributor.scopusid55883777900
dc.contributor.scopusid24485340700
dc.contributor.scopusid35761163100
dc.date.accessioned2025-08-06T23:38:20Z
dc.date.issued2009-11-01
dc.description.abstractIn this work, we consider the number of integer solutions of Diophantine equation D: y2 - 2yx - 3 = 0 over Z and also over finite fields Fp for primes p ≥ 5. Later we determine the number of rational points on curves Ep: y2 = Pp(x) = yp/ 1 + yp/2 over Fp, where y1 and y2 are the roots of D. Also we give a formula for the sum of x- and y-coordinates of all rational points (x, y) on Ep over Fp.
dc.identifier.endpage 529
dc.identifier.issn2010-376X
dc.identifier.scopus2-s2.0-84871125934
dc.identifier.startpage526
dc.identifier.urihttps://hdl.handle.net/11452/53998
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.subjectQuadratic form
dc.subjectPell equation
dc.subjectDiophantine equation
dc.subject.scopusReal Quadratic Fields and Pell's Equation
dc.titleThe diophantine equation y2 - 2yx - 3 = 0 and corresponding curves over Fp
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/ Matematik Ana Bilim Dalı
relation.isAuthorOfPublication17944028-a562-4782-b38f-cb890c6f31bf
relation.isAuthorOfPublication.latestForDiscovery17944028-a562-4782-b38f-cb890c6f31bf

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