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On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\)

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Publication:552175
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DOI10.1016/J.CAMWA.2010.12.002zbMath1217.11031OpenAlexW2081141727MaRDI QIDQ552175

Pingzhi Yuan, Yongzhong Hu

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.002


zbMATH Keywords

Pell equationquadratic equations


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)


Related Items (7)

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 + \(ky^2 + ly = 0\), \(l = 2^n\) ⋮ Unnamed Item ⋮ Proof of the conjecture of Keskin, Siar and Karaatli ⋮ On the Diophantine equation x 2 − kxy + y 2 − 2 n = 0 ⋮ Unnamed Item




Cites Work

  • Infinitely many positive solutions of the Diophantine equation \(x^{2} - kxy + y^{2} + x = 0\)
  • Unnamed Item




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