The Integer Solutions of the Equation ax 2 +by 2 +c = 0 in Quadratic Fields

DOI10.1112/BLMS/1.1.43zbMATH Open0186.35904OpenAlexW1999145980MaRDI QIDQ5580375

Louis J. Mordell

Publication date: 1969

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/1.1.43

zbMATH Keywords

quadratic Diophantine equation

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 \(\mathbb{Q} (\sqrt{ka^2+ b^2})\) ⋮ Explicit complete solution in integers of a class of equations \((ax^ 2- b)(ay^ 2-b)=z^ 2-c\)

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