Solutions of some quadratic Diophantine equations

Keskin, Refik

dc.contributor.authors	Keskin, R;
dc.date.accessioned	2020-01-17T08:21:44Z
dc.date.available	2020-01-17T08:21:44Z
dc.date.issued	2010
dc.identifier.citation	Keskin, R; (2010). Solutions of some quadratic Diophantine equations. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 60, 2230-2225
dc.identifier.issn	0898-1221
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6132
dc.description.abstract	In this study, we investigate positive integer solutions of the Diophantine equations x(2) - kxy(sic)y(2)(sic)x = 0 and x(2)-kxy-y(2)(sic)y = 0. It is shown that when k > 3,x2-kxy+y(2)+x = 0 has no positive integer solutions but the equation x(2) - kxy + y(2) - x = 0 has positive integer solutions. Moreover, it is shown that the equations x(2) - kxy - y(2) (sic) x = 0 and x(2) - kxy - y(2) (sic) y = 0 have positive solutions when k >= 1. (C) 2010 Elsevier Ltd. All rights reserved.
dc.description.uri	https://doi.org/10.1016/j.camwa.2010.08.012
dc.language	English
dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD
dc.subject	Mathematics
dc.title	Solutions of some quadratic Diophantine equations
dc.type	Article
dc.identifier.volume	60
dc.identifier.startpage	2225
dc.identifier.endpage	2230
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Keskin, Refik
dc.relation.journal	COMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.identifier.wos	WOS:000283449100007
dc.identifier.doi	10.1016/j.camwa.2010.08.012
dc.contributor.author	Keskin, Refik