Segre's theorem on asymmetric diophantine approximation

DOI10.1016/0022-314X(88)90122-9zbMath0645.10009MaRDI QIDQ1102993

Jing Cheng Tong

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

convergentsregular continued fraction expansionasymmetric Diophantine approximationreal irrational number

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Homogeneous approximation to one number (11J04)

Related Items (8)

Robinson's theorem on asymmetric diophantine approximation ⋮ On Segre's theorem on asymmetric diophantine approximation ⋮ On the approximation by continued fractions. II ⋮ A conjecture of Segre on Diophantine approximation ⋮ Sharp bounds for symmetric and asymmetric Diophantine approximation ⋮ Diophantine approximation of a single irrational number ⋮ Symmetric and asymmetric Diophantine approximation of continued fractions ⋮ The Conjugate Property for Diophantine Approximation of Continued Fractions

Cites Work

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• The conjugate property of the Borel theorem on diophantine approximation
• On asymmetric approximations
• Lattice points in infinite domains and asymmetric diophantine approximations
• A theorem on approximation of irrational numbers by simple continued fractions
• On a theorem of Segre

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