Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences

Keskin, Refik; Demirtürk Bitim, Bahar

dc.contributor.authors	Keskin, R; Demirturk, B;
dc.date.accessioned	2020-01-17T08:21:47Z
dc.date.available	2020-01-17T08:21:47Z
dc.date.issued	2013
dc.identifier.citation	Keskin, R; Demirturk, B; (2013). Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences. ARS COMBINATORIA, 111, 179-161
dc.identifier.issn	0381-7032
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6176
dc.description.abstract	In this study, we deal with some Diophantine equations. By using the generalized Fibonacci and Lucas sequences, we obtain all integer solutions of some Diophantine equations such as x(2) - kxy - y(2) = -/+ 1, x(2) - kxy + y(2) = 1, x(2) - kxy - y(2) = -/+(k(2) + 4), x(2) - (k(2) + 4)xy + (k(2) + 4)y(2) = -/+ k(2), x(2) - kxy + y(2) = -(k(2) - 4), and x(2) - (k(2) - 4)xy - (k(2) - 4)y(2) = k(2). Some of the results are known but we think that our proofs are new and different from the others.
dc.language	English
dc.publisher	CHARLES BABBAGE RES CTR
dc.subject	Mathematics
dc.title	Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences
dc.type	Article
dc.identifier.volume	111
dc.identifier.startpage	161
dc.identifier.endpage	179
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Keskin, Refik
dc.contributor.saüauthor	Demirtürk Bitim, Bahar
dc.relation.journal	ARS COMBINATORIA
dc.identifier.wos	WOS:000322091500014
dc.contributor.author	Keskin, Refik
dc.contributor.author	Demirtürk Bitim, Bahar