On the distribution of points in projective space of bounded height

DOI10.1090/S0002-9947-99-02275-8zbMath0938.11034OpenAlexW1577144231MaRDI QIDQ4699627

Kwok-Kwong Stephen Choi

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02275-8

zbMATH Keywords

projective spaceuniform distributionErdős-Turán inequalityDirichlet's theoremWeil's heightpoints of bounded height

Mathematics Subject Classification ID

Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60) Approximation in non-Archimedean valuations (11J61)

Related Items (6)

Energy integrals and small points for the Arakelov height ⋮ Spherical Radon transform and the average of the condition number on certain Schubert subvarieties of a Grassmannian ⋮ $p$-Adic Integral Geometry ⋮ A note on badly approximabe sets in projective space ⋮ Equidistribution and the heights of totally real and totally p-adic numbers ⋮ Systems of rational polynomial equations have polynomial size approximate zeros on the average

Cites Work

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• On Siegel's lemma
• Capacity theory on algebraic curves
• The number of solutions of bounded height to a system of linear equations
• Erdős-Turán type discrepancy bounds
• Some extremal functions in Fourier analysis
• Heights in number fields
• An Asymptotic Estimate for Heights of Algebraic Subspaces

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