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

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Publication:1433090
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DOI10.1016/S0898-1221(04)90010-7zbMath1053.11024MaRDI QIDQ1433090

Piotr Zarzycki, Adam Marlewski

Publication date: 15 June 2004

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


zbMATH Keywords

quadratic Diophantine equationsPell equationcomputer algebra system


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Computer solution of Diophantine equations (11Y50)


Related Items (9)

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 ⋮ Solutions of some quadratic Diophantine equations ⋮ Proof of the conjecture of Keskin, Siar and Karaatli ⋮ On the Diophantine equation x 2 − kxy + y 2 − 2 n = 0 ⋮ On the Diophantine equation \(x^2-kxy+y^2+lx=0,\;l\in\{1,2,4\}\) ⋮ A class of generalized Tribonacci sequences applied to counting problems


Uses Software

  • DERIVE


Cites Work

  • The Lattice Point Covering Theorem for Rectangles
  • Unnamed Item




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