A solvability criterion for the diophantine equation \(ax^2+2bxy-kay^2=\pm 1\)

zbMath0912.11011MaRDI QIDQ1130133

Lionel Bapoungué

Publication date: 6 January 1999

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Pell equationquadratic diophantine equations\(k\)-good solution

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)

Related Items (2)

Solutions of Pell's equation \(v^2- (ka^2+ b^2)w^2= -k\) by the ideals of the quadratic fields \(\mathbb{Q} (\sqrt{ka^2+ b^2})\) ⋮ Factorization in a non-maximal order of a quadratic field

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