A note on the theorem of Jarník-Besicovitch

DOI10.1017/S0017089500032134zbMath0882.11045MaRDI QIDQ4352111

H. Dickinson

Publication date: 16 November 1997

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionerror functionsJarník-Besicovitch theoremwell-approximable matrices

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory (11J83)

Related Items (10)

Sets of exact approximation order by complex rational numbers ⋮ An inhomogeneous Jarník theorem ⋮ Metrical theorems on systems of affine forms ⋮ Sets of exact approximation order by rational numbers ⋮ On sets of exact Diophantine approximation over the field of formal series ⋮ Badly approximable systems of affine forms ⋮ A general inhomogeneous Jarnik-Besicovitch theorem ⋮ The Hausdorff dimension of sets arising from diophantine approximation with a general error function ⋮ Explicit Salem sets and applications to metrical Diophantine approximation ⋮ THE DIFFERENCE BETWEEN THE HURWITZ CONTINUED FRACTION EXPANSIONS OF A COMPLEX NUMBER AND ITS RATIONAL APPROXIMATIONS

Cites Work

• On simultaneous Diophantine approximations
• Hausdorff dimension of sets arising in diophantine approximation
• Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory

This page was built for publication: A note on the theorem of Jarník-Besicovitch