Uniform Diophantine approximation with restricted denominators

DOI10.1016/j.jnt.2024.02.017arXiv2302.03923OpenAlexW4392982804MaRDI QIDQ6131189

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Publication date: 4 April 2024

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

Full work available at URL: https://arxiv.org/abs/2302.03923

zbMATH Keywords

Hausdorff dimension\(b\)-ary expansionuniform Diophantine approximation

Mathematics Subject Classification ID

Fractals (28A80) Measures of irrationality and of transcendence (11J82) Diophantine inequalities (11J25)

Cites Work

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• HAUSDORFF MEASURE OF SETS OF DIRICHLET NON‐IMPROVABLE NUMBERS
• Exponents of Diophantine approximation and expansions in integer bases
• A zero-one law for improvements to Dirichlet’s Theorem
• The sets of Dirichlet non-improvable numbers versus well-approximable numbers
• The generalised Hausdorff measure of sets of Dirichlet non-improvable numbers
• Hausdorff dimension of Dirichlet non-improvable set versus well-approximable set

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