Positive integer solutions of the diophantine equation x(2)-L(n)xy +(-1)(n)y(2) = +/- 5(r)

Keskin, Refik

dc.contributor.authors	Keskin, R; Siar, Z
dc.date.accessioned	2020-01-17T08:21:49Z
dc.date.available	2020-01-17T08:21:49Z
dc.date.issued	2014
dc.identifier.citation	Keskin, R; Siar, Z (2014). Positive integer solutions of the diophantine equation x(2)-L(n)xy +(-1)(n)y(2) = +/- 5(r). PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 124, 313-301
dc.identifier.issn	0253-4142
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6202
dc.identifier.uri	https://doi.org/10.1007/s12044-014-0194-3
dc.description.abstract	In this paper, we consider the equation x (2)-L (n) x y+(-1) (n) y (2) = +/- 5 (r) and determine the values of n for which the equation has positive integer solutions x and y. Moreover, we give all positive integer solutions of the equation x (2)-L (n) x y+(-1) (n) y (2) = +/- 5 (r) when the equation has positive integer solutions.
dc.language	English
dc.publisher	SPRINGER INDIA
dc.subject	Fibonacci numbers; Lucas numbers; diophantine equations
dc.title	Positive integer solutions of the diophantine equation x(2)-L(n)xy +(-1)(n)y(2) = +/- 5(r)
dc.type	Article
dc.identifier.volume	124
dc.identifier.startpage	301
dc.identifier.endpage	313
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Keskin, Refik
dc.relation.journal	PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
dc.identifier.wos	WOS:000342169600003
dc.identifier.doi	10.1007/s12044-014-0194-3
dc.identifier.eissn	0973-7685
dc.contributor.author	Keskin, Refik