Factorization in a non-maximal order of a quadratic field

DOI10.1016/S0723-0869(02)80028-7zbMath1019.11030OpenAlexW1994339222MaRDI QIDQ1599607

Lionel Bapoungué

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0723-0869(02)80028-7

zbMATH Keywords

quadratic Diophantine equationquadratic fieldPell's equation

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09)

Cites Work

• A solvability criterion for the diophantine equation \(ax^2+2bxy-kay^2=\pm 1\)
• On the general solutions of the diophantine equation \(ax^2+ 2bxy- kay^2= \pm 1\)
• On the solvability of the Diophantine equationdV²− 2eV W−dW²= 1
• Solutions of Pell's equation \(v^2- (ka^2+ b^2)w^2= -k\) by the ideals of the quadratic fields \(\mathbb{Q} (\sqrt{ka^2+ b^2})\)
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