Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\)

DOI10.5802/jtnb.123zbMath0820.11015OpenAlexW2315990057MaRDI QIDQ1805365

Hugh C. Williams, Richard A. Mollin, Alfred J. van der Poorten

Publication date: 11 May 1995

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1994__6_2_421_0

zbMATH Keywords

continued fraction expansionexact calculationsquadratic extensionsquadratic diophantine equationsprincipal cycle of ideals

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55)

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Cites Work

• Fractions of the period of the continued fraction expansion of quadratic integers
• A note on symmetry and ambiguity
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