Extremal affine subspaces and Khintchine-Jarník type theorems

DOI10.1007/s00039-024-00665-yarXiv2208.04255MaRDI QIDQ6201487

Jing-Jing Huang

Publication date: 21 February 2024

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04255

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Cites Work

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• Inhomogeneous Diophantine approximation on planar curves
• Diophantine exponents and the Khintchine Groshev theorem
• Rational points near manifolds and metric Diophantine approximation
• Diophantine exponents of affine subspaces: the simultaneous approximation case
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• Diophantine approximation on curves and the distribution of rational points: contributions to the divergence theory
• Density of rational points near/on compact manifolds with certain curvature conditions
• The density of rational points near hypersurfaces
• Integral points close to a space curve
• Rational points near planar curves and Diophantine approximation
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Diophantine approximation on planar curves and the distribution of rational points. With an appendix: Sums of two squares near perfect squares by R. C. Vaughan
• Extremal subspaces and their submanifolds
• Diophantine approximation on planar curves: the convergence theory
• Metrische Sätze über simultane Approximation abhängiger Größen
• A note on three problems in metric Diophantine approximation
• Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds
• Khintchine types of translated coordinate hyperplanes
• Rational approximation of affine coordinate subspaces of Euclidean space
• An inhomogeneous transference principle and Diophantine approximation
• The Hausdorff dimension of systems of linear forms
• Measure theoretic laws for lim sup sets
• An extension of quantitative nondivergence and applications to Diophantine exponents
• Khintchine-type theorems on manifolds
• The analytic principle of the large sieve
• DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION
• Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory
• Some manifolds of Khinchin type for convergence
• A Khintchine-type theorem for affine subspaces
• Simultaneous Approximation on Affine Subspaces
• Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
• Diophantine approximation on the parabola with non-monotonic approximation functions
• Inhomogeneous Dual Diophantine Approximation on Affine Subspaces
• The large sieve inequality for algebraic number fields
• A NOTE ON SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION ON PLANAR CURVES
• Sets of exact `logarithmic' order in the theory of Diophantine approximation
• Khintchine's theorem and Diophantine approximation on manifolds

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