Fractions of the period of the continued fraction expansion of quadratic integers

DOI10.1017/S0004972700029555zbMath0733.11004MaRDI QIDQ3360239

Alfred J. van der Poorten

Publication date: 1991

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

zbMATH Keywords

continued fractionsPellian equationquadratic irrationalitiesperiodic regular continued fractions

Mathematics Subject Classification ID

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

Related Items (5)

On length of the period of the continued fraction of nd ⋮ Closed form continued fraction expansions of special quadratic irrationals ⋮ Binary circular inclusions in an effective medium approximation ⋮ Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\) ⋮ Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)

Cites Work

• Pell's equations \(X^ 2-mY^ 2=-1,-4\) and continued fractions

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