Linear fractional transformations of continued fractions with bounded partial quotients

DOI10.5802/jtnb.202zbMath0901.11024OpenAlexW2093972771MaRDI QIDQ1388986

Jeffrey C. Lagarias, Jeffrey O. Shallit

Publication date: 22 November 1998

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_1997__9_2_267_0

zbMATH Keywords

continued fractionsdiophantine approximationlinear fractional transformationLagrange spectrumbounded partial quotients

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Markov and Lagrange spectra and generalizations (11J06)

Related Items (6)

Badly approximable numbers, Kronecker's theorem, and diversity of Sturmian characteristic sequences ⋮ Correction to: Linear fractional transformations of continued fractions with bounded partial quotients ⋮ Linear fractional transformations and nonlinear leaping convergents of some continued fractions ⋮ Encoding of Rational Numbers and Their Homomorphic Computations for FHE-Based Applications ⋮ Bounds on the period of the continued fraction after a Möbius transformation ⋮ On the multiples of a badly approximable vector

Cites Work

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• Diophantine approximation
• Real numbers with bounded partial quotients: A survey
• On continued fractions and finite automata
• On the sum and product of continued fractions
• On a theorem of Davenport concerning continued fractions
• The Lagrange spectrum of a set
• Sur les fractions continues limitées
• A remark on continued fractions

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