On the Lucas sequence equations V-n(P, 1) = wkx(2), w epsilon {5,7}

Karaatlı, Olcay

dc.contributor.authors	Karaath, O;
dc.date.accessioned	2020-01-17T08:21:41Z
dc.date.available	2020-01-17T08:21:41Z
dc.date.issued	2016
dc.identifier.citation	Karaath, O; (2016). On the Lucas sequence equations V-n(P, 1) = wkx(2), w epsilon {5,7}. PERIODICA MATHEMATICA HUNGARICA, 73, 82-73
dc.identifier.issn	0031-5303
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6074
dc.identifier.uri	https://doi.org/10.1007/s10998-016-0130-7
dc.description.abstract	Let P be an odd integer and (V-n) denote the generalized Lucas sequence defined by V-0 = 2, V-1 = P, and Vn+1 = PVn + Vn-1 for n >= 1. In this study, we solve the equations V-n = 5kx(2), V-n = 7kx(2), V-n = 5kx(2) +/- 1, and V-n = 7kx2 +/- 1 when k\|P with k > 1. Moreover, applying some of the results, we obtain complete solutions to the equations Vn = sigma x(2), sigma epsilon {15, 21, 35}.
dc.language	English
dc.publisher	SPRINGER
dc.subject	Mathematics
dc.title	On the Lucas sequence equations V-n(P, 1) = wkx(2), w epsilon {5,7}
dc.type	Article
dc.identifier.volume	73
dc.identifier.startpage	73
dc.identifier.endpage	82
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Karaatlı, Olcay
dc.relation.journal	PERIODICA MATHEMATICA HUNGARICA
dc.identifier.wos	WOS:000380694300006
dc.identifier.doi	10.1007/s10998-016-0130-7
dc.identifier.eissn	1588-2829
dc.contributor.author	Karaatlı, Olcay