On Legendre's equation \(ax^2+by^2+cz^2=0\)

DOI10.1016/0022-314X(83)90035-5zbMath0505.10002MaRDI QIDQ1835942

Richard H. Hudson, Kenneth S. Williams

Publication date: 1983

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

zbMATH Keywords

quadratic Diophantine equationLegendre symbolquadratic residuequartic residueLegendre equationDirichlet symbol

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Power residues, reciprocity (11A15)

Related Items (2)

Minimal degree of an element of a number field with respect to its quadratic extension ⋮ On the diophantine equation \(x^ 2 - Dy^ 2 = nz^ 2\)

Cites Work

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• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• On some special quartic reciprocity laws

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