The Jacobi–Perron Algorithm and Pisot numbers
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Publication:4811205
DOI10.4064/aa111-3-4zbMath1051.11037OpenAlexW1967963011MaRDI QIDQ4811205
R. Paysant-Le Roux, Ahmed Farhane, Eugène Dubois
Publication date: 18 August 2004
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: http://journals.impan.gov.pl/aa/Inf/111-3-4.html
Units and factorization (11R27) Continued fractions and generalizations (11J70) Cubic and quartic extensions (11R16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)
Related Items (7)
Geometrical and spectral properties of Pisot substitutions ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Periodic Jacobi-Perron expansions associated with a unit. II ⋮ Periodic Jacobi-Perron expansions associated with a unit ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ A combinatorial approach to products of Pisot substitutions ⋮ Pure discrete spectrum for a class of one-dimensional substitution tiling systems
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