INTRINSIC DIOPHANTINE APPROXIMATION ON GENERAL POLYNOMIAL SURFACES

DOI10.1112/S0025579316000243zbMath1372.11077arXiv1601.06547MaRDI QIDQ2970176

Morten Hein Tiljeset

Publication date: 28 March 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06547

zbMATH Keywords

intrinsic Diophantine approximationpolynomial surfaces

Mathematics Subject Classification ID

Metric theory (11J83) Small fractional parts of polynomials and generalizations (11J54)

Cites Work

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• Rational points near manifolds and metric Diophantine approximation
• Rational approximation on spheres
• Flows on homogeneous spaces and Diophantine approximation on manifolds
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• Intrinsic Diophantine approximation on quadric hypersurfaces
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Simultaneous Diophantine approximation on the circle and Hausdorff dimension
• Metric Diophantine approximation on homogeneous varieties
• Measure theoretic laws for lim sup sets
• SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES
• Intrinsic Diophantine approximation on manifolds: General theory

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