On the Diophantine equation x(2) - kxy plus y(2)-2(n)=0

Keskin, Refik; Karaatlı, Olcay

dc.contributor.authors	Keskin, R; Siar, Z; Karaatli, O;
dc.date.accessioned	2020-01-17T08:21:49Z
dc.date.available	2020-01-17T08:21:49Z
dc.date.issued	2013
dc.identifier.citation	Keskin, R; Siar, Z; Karaatli, O; (2013). On the Diophantine equation x(2) - kxy plus y(2)-2(n)=0. CZECHOSLOVAK MATHEMATICAL JOURNAL, 63, 797-783
dc.identifier.issn	0011-4642
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6194
dc.identifier.uri	https://doi.org/10.1007/s10587-013-0052-y
dc.description.abstract	In this study, we determine when the Diophantine equation x (2)-kxy+y (2)-2 (n) = 0 has an infinite number of positive integer solutions x and y for 0 a (c) 1/2 n a (c) 1/2 10. Moreover, we give all positive integer solutions of the same equation for 0 a (c) 1/2 n a (c) 1/2 10 in terms of generalized Fibonacci sequence. Lastly, we formulate a conjecture related to the Diophantine equation x (2) - kxy + y (2) - 2 (n) = 0.
dc.language	English
dc.publisher	SPRINGER HEIDELBERG
dc.subject	Mathematics
dc.title	On the Diophantine equation x(2) - kxy plus y(2)-2(n)=0
dc.type	Article
dc.identifier.volume	63
dc.identifier.startpage	783
dc.identifier.endpage	797
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Keskin, Refik
dc.contributor.saüauthor	Karaatlı, Olcay
dc.relation.journal	CZECHOSLOVAK MATHEMATICAL JOURNAL
dc.identifier.wos	WOS:000326895800013
dc.identifier.doi	10.1007/s10587-013-0052-y
dc.identifier.eissn	1572-9141
dc.contributor.author	Keskin, Refik
dc.contributor.author	Karaatlı, Olcay