Khintchine's theorem and Diophantine approximation on manifolds

DOI10.4310/ACTA.2023.V231.N1.A1arXiv2105.13872OpenAlexW4287164512MaRDI QIDQ6068528

Victor V. Beresnevich, Lei Yang

Publication date: 15 December 2023

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13872

zbMATH Keywords

Hausdorff dimensionDiophantine approximation on manifoldsquantitative non-divergenceJarník theoremKhintchine theoremrational points near manifoldsspectrum of Diophantine exponents

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

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Extremal affine subspaces and Khintchine-Jarník type theorems

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