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20022005
most citedDiophantine approximation on planar curves and the distribution of rational points

13 citations · 18 across the 4 of their papers we have counts for

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math.NT2005

Schmidt's theorem, Hausdorff measures and Slicing

Victor Beresnevich, Sanju Velani

A Hausdorff measure version of W.M. Schmidt's inhomogeneous, linear forms theorem in metric number theory is established. The key ingredient is a `slicing' technique motivated by a…

math.NT2005★ 1 cited

A note on simultaneous Diophantine approximation on planar curves

Victor Beresnevich, Sanju Velani

Let $\cS_n(ψ_1,...,ψ_n)$ denote the set of simultaneously --approximable points in and $\cSM_n(ψ)$ denote the set of multiplicatively --approximable points…