most citedDiophantine approximation on planar curves and the distribution of rational points

13 citations · 13 across the 1 of their papers we have counts for

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2 papers

math.NT2004★ 13 cited

Diophantine approximation on planar curves and the distribution of rational points

Victor Beresnevich, Detta Dickinson, Sanju Velani

Let be a non--degenerate planar curve and for a real, positive decreasing function let denote the set of simultaneously --approximable points lying on $…

math.NT2004

Measure theoretic laws for lim sup sets

Victor Beresnevich, Detta Dickinson, Sanju Velani

Given a compact metric space (X,d) equipped with a non-atomic, probability measure m and a real, positive decreasing function p we consider a `natural' class of limsup subsets La(p…