A class of periodic Jacobi-Perron algorithms in pure algebraic number fields of degree \(n\geq 3\)

DOI10.1007/BF01172666zbMath0375.10018OpenAlexW1995832778MaRDI QIDQ1245992

Claude Levesque

Publication date: 1977

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154495

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Cubic and quartic extensions (11R16)

Related Items (3)

Algebraic number fields ⋮ Families of periodic Jacobi-Perron algorithms for all period lengths ⋮ Une application des nombres de Pisot à l'algorithme de Jacobi-Perron

Cites Work

• A class of fundamental units and some classes of Jacobi-Perron algorithms in pure cubic fields
• Units from periodic Jacobi-Perron algorithms in algebraic number fields of degree \(n > 2\)
• Units and Periodic Jacobi-Perron Algorithms in Real Algebraic Number Fields of Degree 3
• Representation of ⁿ√Dⁿ — d as a Periodic Continued Fraction by Jacobi's Algorithm

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