Symmetric and asymmetric Diophantine approximation of continued fractions

DOI10.24033/bsmf.2112zbMath0684.10030OpenAlexW2585075015MaRDI QIDQ4733920

Jing Cheng Tong

Publication date: 1989

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_1_59_0

zbMATH Keywords

symmetric approximationsimple continued fraction expansionconsecutive convergentsasymmetric approximationsymmetric and asymmetric inequalities

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Homogeneous approximation to one number (11J04) Diophantine approximation, transcendental number theory (11J99)

Related Items (2)

Sharp bounds for symmetric and asymmetric Diophantine approximation ⋮ The Conjugate Property for Diophantine Approximation of Continued Fractions

Cites Work

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• Segre's theorem on asymmetric diophantine approximation
• The conjugate property of the Borel theorem on diophantine approximation
• On asymmetric approximations
• Lattice points in infinite domains and asymmetric diophantine approximations
• Über die Approximation reeller Zahlen durch die Näherungsbrüche ihres regelmäßigen Kettenbruches
• On two theorems of Kopetzky and Schnitzer on the approximation of continued fractions.
• A theorem on approximation of irrational numbers by simple continued fractions
• On a theorem of Segre
• Unsymmetrical approximation of irrational numbers

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