1 citations · 1 across the 4 of their papers we have counts for
4 papers
Rational points near manifolds and Khintchine theorem
Victor Beresnevich, Shreyasi Datta
In this paper, we complete the long-standing challenge to establish a Khintchine-type theorem for arbitrary nondegenerate manifolds in . In particular, our main resul…
Winning and nullity of inhomogeneous bad
Shreyasi Datta, Liyang Shao
We prove the hyperplane absolute winning property of weighted inhomogeneous badly approximable vectors in . This answers a question by Beresnevich--Nesharim--Yang and…
Bad is null
Victor Beresnevich, Shreyasi Datta, Anish Ghosh +1
In this paper we develop a general framework of badly approximable points in a metric space equipped with a -finite doubling Borel regular measure . We establish that und…
Singular Vectors in Real Affine Subspaces
Shreyasi Datta, Yewei Xu
We prove inheritance of measure zero property of the set of singular vectors for affine subspaces and submanifolds inside those affine subspaces. We define a notion of -singular…