The Conjugate Property for Diophantine Approximation of Continued Fractions

DOI10.2307/2046897zbMath0663.10007OpenAlexW4238600565MaRDI QIDQ3813855

Jing Cheng Tong

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046897

zbMATH Keywords

simple continued fractionconsecutive convergentsconjugate property

Mathematics Subject Classification ID

Continued fractions (11A55) Homogeneous approximation to one number (11J04)

Related Items (4)

Robinson's theorem on asymmetric diophantine approximation ⋮ A conjecture of Segre on Diophantine approximation ⋮ Diophantine approximation of a single irrational number ⋮ Some inequalities for diophantine approximation by continued fractions

Cites Work

• Unnamed Item
• 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
• A Note on a Theorem of Perron
• A theorem on approximation of irrational numbers by simple continued fractions
• Symmetric and asymmetric Diophantine approximation of continued fractions
• On a theorem of Segre
• Note on an asymmetric diophantine approximation

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