JARNÍK’S THEOREM WITHOUT THE MONOTONICITY ON THE APPROXIMATING FUNCTION

DOI10.1142/S0218348X19500440zbMath1433.28005OpenAlexW2912246501MaRDI QIDQ4961166

Shaohua Zhang, Chao Ma

Publication date: 22 April 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x19500440

zbMATH Keywords

Diophantine approximationHausdorff dimensionwell-approximable set

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (1)

MEAN LI–YORKE CHAOTIC SET WITH FULL HAUSDORFF DIMENSION FOR CONTINUED FRACTIONS

Cites Work

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• The Duffin-Schaeffer conjecture with extra divergence. II
• The Hausdorff dimension of sets arising from diophantine approximation with a general error function
• The Hausdorff measure version of Gallagher's theorem. Closing the gap and beyond
• Hausdorff dimension of sets arising in diophantine approximation
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Khintchine's problem in metric diophantine approximation
• A mass transference principle for systems of linear forms and its applications
• The k ‐dimensional Duffin and Schaeffer conjecture
• The Fractional Dimension of Sets whose Simultaneous Rational Approximations have Errors with a Small Product
• A general principle for Hausdorff measure
• Mass transference principle for limsup sets generated by rectangles
• The Duffin-Schaeffer conjecture with extra divergence
• The Duffin-Schaeffer conjecture with extra divergence

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