On the magnitude of the integer solutions of the equation \(ax^ 2 +by^ 2 +cz^ 2 = 0\)

DOI10.1016/0022-314X(69)90019-5zbMath0169.06104MaRDI QIDQ2531078

L. J. Mordell

Publication date: 1969

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

number theory

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)

Related Items

Holzer's theorem in \(k[t\)] ⋮ On parametric and matrix solutions to the Diophantine equation \(x^2+\mathrm{d} y^2- z^2=0\) where \(d\) is a positive square-free Integer ⋮ The Legendre equation in Euclidean imaginary quadratic number fields ⋮ On the magnitude of the integer solutions of the semi-diagonal equation ax2 + by2 + cz2 + dxy = 0 ⋮ On the magnitude of the Gaussian integer solutions of the Legendre equation ⋮ Small solutions of the Legendre equation

Cites Work

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• Kleine Lösungen der diophantischen Gleichung \(ax^2+by^2=cz^2\)
• On the equation \(ax^2+by^2+cz^2=0\)
• Minimal Solutions of Diophantine Equations