An Analogue of the Nearest Integer Continued Fraction for Certain Cubic Irrationalities

DOI10.2307/2007610zbMath0544.10032OpenAlexW4242668214MaRDI QIDQ3333122

Gerhard W. Dueck, Hugh C. Williams

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2007610

zbMATH Keywords

regulatorfundamental unitscubic fieldsmultidimensional continued fractionsgeometric interpretationperiod lengthanalogue of Voronoi continued fraction

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions and generalizations (11J70) Cubic and quartic extensions (11R16)

Related Items (2)

Linear recurrence sequences and periodicity of multidimensional continued fractions ⋮ On the metric theory of nearest integer continued fractions

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