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Neighbors of indefinite binary quadratic forms

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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.accessioned2025-08-06T23:29:59Z
dc.date.issued2011-03-01
dc.description.abstractIn this paper, we derive some algebraic identities on right and left neighbors R(F) and L(F) of an indefinite binary quadratic form F = F(x, y) = ax2 + bxy + cy2 of discriminant Δ = b2 - 4ac. We prove that the proper cycle of F can be given by using its consecutive left neighbors. Also we construct a connection between right and left neighbors of F.
dc.identifier.endpage718
dc.identifier.issn2010-376X
dc.identifier.scopus2-s2.0-84871425214
dc.identifier.startpage712
dc.identifier.urihttps://hdl.handle.net/11452/53902
dc.identifier.volume51
dc.indexed.scopusScopus
dc.language.isoen
dc.relation.journalWorld Academy of Science Engineering and Technology
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectRight neighbor
dc.subjectQuadratic form
dc.subjectProper cycle
dc.subjectLeft neighbor
dc.subjectIndefinite form
dc.subjectCycle
dc.subject.scopusReal Quadratic Fields and Pell's Equation
dc.titleNeighbors of indefinite binary quadratic forms
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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