Une application des nombres de Pisot à l'algorithme de Jacobi-Perron

DOI10.1007/BF01637281zbMath0543.10023OpenAlexW196028997MaRDI QIDQ795865

R. Paysant-Le Roux, Eugène Dubois

Publication date: 1984

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178196

zbMATH Keywords

periodicitybasisJacobi-Perron algorithmPisot numberreal number field

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Software, source code, etc. for problems pertaining to number theory (11-04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (5)

Families of periodic Jacobi-Perron algorithms for all period lengths ⋮ Etude des interruptions dans l'algorithme de Jacobi–Perron ⋮ Periodic Jacobi-Perron expansions associated with a unit. II ⋮ Periodic Jacobi-Perron expansions associated with a unit ⋮ A combinatorial approach to products of Pisot substitutions

Cites Work

• Minimal varieties and harmonic maps in tori
• A class of periodic Jacobi-Perron algorithms in pure algebraic number fields of degree \(n\geq 3\)
• The Jacobi-Perron algorithm its theory and application
• Algorithme de Jacobi-Perron dans les corps de nombres de degré 4
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