SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES

DOI10.1112/S0025579309000382zbMath1279.11076OpenAlexW1973066940MaRDI QIDQ3406656

Detta Dickinson, Natalia Budarina, Jason Levesley

Publication date: 19 February 2010

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579309000382

zbMATH Keywords

Hausdorff dimensionDiophantine approximation on manifoldsmetric theory

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Small fractional parts of polynomials and generalizations (11J54)

Related Items (17)

Intrinsic Diophantine approximation on quadric hypersurfaces ⋮ ON THE SPECTRUM OF DIOPHANTINE APPROXIMATION CONSTANTS ⋮ Rational approximation to surfaces defined by polynomials in one variable ⋮ Intrinsic Diophantine approximation on manifolds: General theory ⋮ Simultaneous p-adic Diophantine approximation ⋮ On simultaneous rational approximation to a real number and its integral powers ⋮ A Jarník type theorem for planar curves: everything about the parabola ⋮ INTRINSIC DIOPHANTINE APPROXIMATION ON GENERAL POLYNOMIAL SURFACES ⋮ Diophantine approximation on polynomial curves ⋮ On intrinsic and extrinsic rational approximation to Cantor sets ⋮ Rational approximation to algebraic varieties and a new exponent of simultaneous approximation ⋮ Small values of Weyl sums ⋮ Vertical Shift and Simultaneous Diophantine Approximation on Polynomial Curves ⋮ Hausdorff Dimension and Diophantine Approximation ⋮ An improved bound in Wirsing’s problem ⋮ On simultaneous rational approximation to ap-adic number and its integral powers ⋮ Extrinsic Diophantine approximation on manifolds and fractals

Cites Work

• Unnamed Item
• Unnamed Item
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• On simultaneous Diophantine approximations
• A Groshev type theorem for convergence on manifolds
• Simultaneous diophantine approximation and asymptotic formulae on manifolds
• Extremal manifolds and Hausdorff dimension
• 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 rational quadrics
• Simultaneous Diophantine approximation on the circle and Hausdorff dimension
• Metric Diophantine approximation and Hausdorff dimension on manifolds
• Dirichlet's theorem on diophantine approximation

This page was built for publication: SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES