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math.NT2014★ 5 cited
Hausdorff theory of dual approximation on planar curves
Jing-Jing Huang
Ten years ago, Beresnevich-Dickinson-Velani initiated a project that develops the general Hausdorff measure theory of dual approximation on non-degenerate manifolds. In particular,…
math.NT2014★ 5 cited
Rational points near planar curves and Diophantine approximation
Jing-Jing Huang
In this paper, we establish asymptotic formulae with optimal errors for the number of rational points that are close to a planar curve, which unify and extend the results of Beresn…