36 citations · 94 across the 20 of their papers we have counts for
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Diophantine approximation on manifolds and lower bounds for Hausdorff dimension
Victor Beresnevich, Lawrence Lee, Robert C. Vaughan +1
Given and , let denote the classical set of -approximable points in , which consists of th…
Sums of reciprocals and the three distance theorem
Victor Beresnevich, Nicol Leong
In this paper we investigate the sums of reciprocals to an arithmetic progression taken modulo one, that is sums of , where and are real parameters and $\{\,…
Inhomogeneous dual Diophantine approximation on affine subspaces
Victor Beresnevich, Arijit Ganguly, Anish Ghosh +1
We prove the convergence and divergence cases of an inhomogeneous Khintchine-Groshev type theorem for dual approximation restricted to affine subspaces in . The dive…
Systems of small linear forms and Diophantine approximation on manifolds
Victor Beresnevich, Vasili Bernik, Natalia Budarina
We develop the theory of Diophantine approximation for systems of simultaneously small linear forms, which coefficients are drawn from any given analytic non-degenerate manifolds.…