Periodic Jacobi-Perron expansions associated with a unit

DOI10.5802/jtnb.776zbMath1270.11068OpenAlexW2330665461MaRDI QIDQ449710

Brigitte Adam, Georges Rhin

Publication date: 31 August 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2011__23_3_527_0/

zbMATH Keywords

Jacobi-Perron algorithms

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions and generalizations (11J70) Continued fractions (11A55) Metric theory of continued fractions (11K50)

Related Items (3)

Periodic Jacobi-Perron expansions associated with a unit. II ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps

Cites Work

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• The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
• Two families of periodic Jacobi algorithms with period lengths going to infinity
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• Eine Formel für Grundeinheiten in reinen algebraischen Zahlkörpern dritten, vierten und sechsten Grades
• The Jacobi-Perron algorithm its theory and application
• A 3-dimensional periodic Jacobi-Perron algorithm of period length 8
• The Jacobi–Perron Algorithm and Pisot numbers
• Voronoi-Algorithm Expansion of Two Families with Period Length Going to Infinity
• Algorithmes des fractions continues et de Jacobi-Perron
• On units and fundamental units.

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