Proof of the conjecture of Keskin, Siar and Karaatli

DOI10.5186/aasfm.2018.4328zbMath1435.11063arXiv1601.04045OpenAlexW2964340545WikidataQ122999399 ScholiaQ122999399MaRDI QIDQ4608988

Sukrawan Mavecha, Rachid Boumahdi, Omar Kihel

Publication date: 29 March 2018

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04045

zbMATH Keywords

fundamental solutionPell equationsDiophantine equations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)

Cites Work

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• 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 \(x^{2} - kxy + y^{2} + x = 0\)
• On the Diophantine equation x 2 − kxy + y 2 − 2 n = 0

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