The modified Jacobi-Perron algorithm over \(\mathbb F_q (X)^d\)

DOI10.3836/tjm/1244208601zbMath1156.11329OpenAlexW2087691878MaRDI QIDQ1429093

Kae Inoue, Hitoshi Nakada

Publication date: 30 March 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208601

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50)

Related Items (4)

On optimal simultaneous rational approximation to \((\omega ,\omega ^{2})^{\tau}\) with \(\omega \) being some kind of cubic algebraic function ⋮ Arithmetic distributions of convergents arising from Jacobi-Perron algorithm ⋮ Analysis of generalized continued fraction algorithms over polynomials ⋮ Ergodicity for \(p\)-adic continued fraction algorithms

Cites Work

• Almost everywhere exponential convergence of the modified Jacobi—Perron algorithm
• The length of the continued fraction expansion for a class of rational functions in
• A simple proof of the exponential convergence of the modified Jacobi–Perron algorithm
• On almost everywhere exponential convergence of the modified Jacobi-Perron algorithm: a corrected proof
• Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map)
• The exponent of convergence for 2-dimensional Jacobi-Perron type algorithms
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