On the Diophantine equation \(x^2-kxy+ky^2+ly=0\), \(l\in\{1,2,4,8\}\)

zbMath1290.11059MaRDI QIDQ380734

Olcay Karaatlı, Zafer Ṣiar

Publication date: 14 November 2013

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1374153552

zbMATH Keywords

quadratic Diophantine equationsPell equations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

On the Diophantine equation \(x^2\) - kxy + \(ky^2 + ly = 0\), \(l = 2^n\)

Cites Work

• On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\)
• Solving the Pell equation
• Infinitely many positive solutions of the Diophantine equation \(x^{2} - kxy + y^{2} + x = 0\)
• Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\)
• Twelve diophantine equations
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