On the periodic writing of cubic irrationals and a generalization of Rédei functions

DOI10.1142/S1793042115500438zbMath1322.11079MaRDI QIDQ5248577

Nadir Murru

Publication date: 8 May 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

diophantine approximationJacobi-Perron algorithmlinear recurrence sequenceHermite problemCubic irrationalmultidimentional continued fraction

Mathematics Subject Classification ID

Recurrences (11B37) Continued fractions and generalizations (11J70) Approximation to algebraic numbers (11J68)

Related Items (8)

On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups ⋮ Periodic karyon expansions of cubic irrationals in continued fractions ⋮ Periodic karyon expansions of algebraic units in multidimensional continued fractions ⋮ Karyon expansions of Pisot numbers in multidimensional continued fractions ⋮ Linear recurrence sequences and periodicity of multidimensional continued fractions ⋮ On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ Approximations of Algebraic Irrationalities with Matrices

Cites Work

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• The Jacobi-Perron algorithm its theory and application
• Constructing multidimensional periodic continued fractions in the sense of Klein
• A new multidimensional continued fraction algorithm
• The unreasonable effectualness of continued function expansions
• Geometry of continued fractions
• On periodic sequences for algebraic numbers

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