APPROXIMATING NUMBERS OF THE CANTOR SET BY ALGEBRAIC NUMBERS

DOI10.1017/s0004972722001058zbMath1528.11063OpenAlexW4300961053MaRDI QIDQ6176134

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Publication date: 25 July 2023

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

Full work available at URL: https://doi.org/10.1017/s0004972722001058

zbMATH Keywords

Cantor setDiophantine approximationHausdorff dimensionalgebraic number

Mathematics Subject Classification ID

Metric theory (11J83) Hausdorff and packing measures (28A78)

Cites Work

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• Metric Diophantine approximation on the middle-third Cantor set
• Intrinsic approximation on Cantor-like sets, a problem of Mahler
• On a problem of K. Mahler: Diophantine approximation and Cantor sets
• Diophantine approximation and Cantor sets
• Extrinsic Diophantine approximation on manifolds and fractals
• Almost no points on a Cantor set are very well approximable
• Intrinsic approximation for fractals defined by rational iterated function systems: Mahler's research suggestion
• APPROXIMATING NUMBERS WITH MISSING DIGITS BY ALGEBRAIC NUMBERS
• Some suggestions for further research
• On intrinsic and extrinsic rational approximation to Cantor sets

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