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math.NT2021
Weighted uniform Diophantine approximation of systems of linear forms
Dmitry Kleinbock, Anurag Rao
Following the development of weighted asymptotic approximation properties of matrices, we introduce the analogous uniform approximation properties (that is, study the improvability…
math.NT2021★ 5 cited
Abundance of Dirichlet-improvable pairs with respect to arbitrary norms
Dmitry Kleinbock, Anurag Rao
In a recent paper of Akhunzhanov and Shatskov the two-dimensional Dirichlet spectrum with respect to Euclidean norm was defined. We consider an analogous definition for arbitrary n…
math.NT2019★ 4 cited
A zero-one law for uniform Diophantine approximation in Euclidean norm
Dmitry Kleinbock, Anurag Rao
We study a norm sensitive Diophantine approximation problem arising from the work of Davenport and Schmidt on the improvement of Dirichlet's theorem. Its supremum norm case was rec…