Diophantine Equations Related with Linear Binary Recurrences
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Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tarbiat Modares Univ, Acecr
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Linear recurrences; Generalized Fibonacci and Lucas sequences; Diophantine equations; Continued fractions
Kaynak
Iranian Journal of Mathematical Sciences and Informatics
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
17
Sayı
1
