Multiplicatively badly approximable numbers and generalised Cantor sets

DOI10.1016/J.AIM.2011.06.041zbMath1235.11071arXiv1007.1848OpenAlexW2963241589MaRDI QIDQ645221

Dzmitry Badziahin, Sanju L. Velani

Publication date: 8 November 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1848

zbMATH Keywords

Diophantine approximationLittlewood's conjectureThe de Mathan and Teulié conjecture

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

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• On Simultaneously Badly Approximable Numbers
• Simultaneous rational approximations to algebraic numbers
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Measure rigidity and $p$-adic Littlewood-type problems
• On a mixed Littlewood conjecture in Diophantine approximation
• Metric Simultaneous Diophantine Approximation

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