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

DOI10.1515/AWUTM-2017-0008OpenAlexW2753567900MaRDI QIDQ2679526

Sukrawan Mavecha

Publication date: 23 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2017-0008

zbMATH Keywords

Diophantine equations

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On the Diophantine equation \(x^2 - kxy + y^2 + lx = 0\)
• On the Diophantine equation \(x^2-kxy+ky^2+ly=0\), \(l\in\{1,2,4,8\}\)
• On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\)
• Solutions of some quadratic Diophantine equations
• Infinitely many positive solutions of the Diophantine equation \(x^{2} - kxy + y^{2} + x = 0\)

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