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https://hdl.handle.net/20.500.11851/8546| Title: | Diophantine Equations Related with Linear Binary Recurrences | Authors: | Kılıç, Emrah Akkus, Ilker Omur, Nese |
Keywords: | Linear recurrences Generalized Fibonacci and Lucas sequences Diophantine equations Continued fractions Fibonacci Sequence |
Publisher: | Tarbiat Modares Univ, Acecr | Source: | Akkus, I., Kilic, E., & Omur, N. (2022). Diophantine Equations Related with Linear Binary Recurrences. Iranian Journal of Mathematical Sciences and Informatics, 17(1), 11-26. | Abstract: | In this paper we find all solutions of four kinds of the Dio-phantine equations x(2) +/- V(t)xy - y(2) +/- x = 0 and x(2) +/- V(t)xy - y(2) +/- y = 0, for an odd number t, and, x(2) +/- V(t)xy + y(2) - x = 0 and x(2) +/- V(t)xy +/- y(2) - y = 0, for an even number t, where V-n is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh. | URI: | https://doi.org/10.52547/ijmsi.17.1.11 https://hdl.handle.net/20.500.11851/8546 |
ISSN: | 1735-4463 2008-9473 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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