Solutions of some quadratic Diophantine equations

DOI10.1016/j.camwa.2010.08.012zbMath1205.11035OpenAlexW2029839047MaRDI QIDQ623161

Refik Keskin

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.012

zbMATH Keywords

Diophantine equationsFibonacci and Lucas numbersgeneralized Fibonacci numbers

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)

Related Items (11)

Unnamed Item ⋮ Solution of certain Pell equations ⋮ On the Diophantine equation \(x^2 - kxy + y^2 + lx = 0\) ⋮ On some Diophantine equations ⋮ On the Diophantine equation \(x^2\) - kxy + \(ky^2 + ly = 0\), \(l = 2^n\) ⋮ Generalized Fibonacci numbers of the form \(wx^2 + 1\) ⋮ Proof of the conjecture of Keskin, Siar and Karaatli ⋮ On the Diophantine equation x 2 − kxy + y 2 − 2 n = 0 ⋮ Unnamed Item ⋮ Positive integer solutions of some Diophantine equations in terms of integer sequences ⋮ Unnamed Item

Cites Work

• Infinitely many positive solutions of the Diophantine equation \(x^{2} - kxy + y^{2} + x = 0\)
• The Fibonacci Numbers: Exposed
• My Numbers, My Friends
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