The Pell equation x2 - Py2 = Q

dc.contributor.authorTekcan, Ahmet
dc.contributor.authorÖzkoç, Arzu
dc.contributor.authorKocapinar, Canan
dc.contributor.authorAlkan, Hatice
dc.date.accessioned2025-07-03T21:18:13Z
dc.date.issued2010
dc.departmentBalıkesir Üniversitesi
dc.description.abstractLet p be a prime number such that p =1(mod 4), say p =1+4k for a positive integer k. Let P =2k +1 and Q = k2. In this paper, we consider the integer solutions of the Pell equation x2-Py2 = Q over Z and also over finite fields Fp. Also we deduce some relations on the integer solutions (xn,yn) of it.
dc.identifier.endpage62
dc.identifier.issn2010-3913
dc.identifier.issue2
dc.identifier.scopus2-s2.0-77949883903
dc.identifier.scopusqualityN/A
dc.identifier.startpage59
dc.identifier.urihttps://hdl.handle.net/20.500.12462/21234
dc.identifier.volume4
dc.indekslendigikaynakScopus
dc.language.isoen
dc.relation.ispartofInternational Journal of Computational and Mathematical Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20250703
dc.subjectPell equation
dc.subjectSolutions of Pell equation
dc.titleThe Pell equation x2 - Py2 = Q
dc.typeArticle

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