The conjugate property of the Borel theorem on diophantine approximation

DOI10.1007/BF01252854zbMath0497.10024MaRDI QIDQ1170224

Jing Cheng Tong

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173354

zbMATH Keywords

irrational numbersimple continued fraction expansionconjugate form of Borel theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Homogeneous approximation to one number (11J04)

Related Items (8)

Segre's theorem on asymmetric diophantine approximation ⋮ Three consecutive approximation coefficients: asymptotic frequencies in semi-regular cases ⋮ A theorem on approximation of irrational numbers by simple continued fractions ⋮ Diophantine approximation of a single irrational number ⋮ Some inequalities for diophantine approximation by continued fractions ⋮ Symmetric and asymmetric Diophantine approximation of continued fractions ⋮ Symmetry in the sequence of approximation coefficients ⋮ The Conjugate Property for Diophantine Approximation of Continued Fractions

Cites Work

• Approximation by Continued Fractions
• Approximation Theorems of Borel and Fujiwara.
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