METRICAL PROBLEMS IN DIOPHANTINE APPROXIMATION

DOI10.1017/S0004972721000587zbMath1485.11121OpenAlexW3169981550MaRDI QIDQ5013865

Ayreena Bakhtawar

Publication date: 3 December 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721000587

zbMATH Keywords

Hausdorff dimensioncontinued fractionsDirichlet's theoremuniform Diophantine approximation

Mathematics Subject Classification ID

Metric theory of continued fractions (11K50) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• A zero-one law for improvements to Dirichlet’s Theorem
• HAUSDORFF DIMENSION FOR THE SET OF POINTS CONNECTED WITH THE GENERALIZED JARNÍK–BESICOVITCH SET
• Hausdorff dimension of an exceptional set in the theory of continued fractions
• The sets of Dirichlet non-improvable numbers versus well-approximable numbers

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