The Hausdorff dimension of sets arising from diophantine approximation with a general error function

DOI10.1006/jnth.1998.2253zbMath0920.11056OpenAlexW1976330787MaRDI QIDQ1273703

Bryan P. Rynne

Publication date: 6 January 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2253

zbMATH Keywords

Hausdorff dimensionsimultaneous approximationdiophantine approximation

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Related Items

JARNÍK’S THEOREM WITHOUT THE MONOTONICITY ON THE APPROXIMATING FUNCTION ⋮ Explicit Salem sets and applications to metrical Diophantine approximation

Cites Work

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• Hausdorff dimension of sets arising in diophantine approximation
• The Hausdorff dimension of systems of linear forms
• The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
• Diophantine approximation and a lower bound for Hausdorff dimension
• A note on the theorem of Jarník-Besicovitch
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory