Quantitative Khintchine in Simultaneous Approximation

09/28/2022

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by   Shreyasi Datta, et al.

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In a ground-breaking work <cit.>, Beresnevich and Yang recently proved Khintchine's theorem in simultaneous Diophantine approximation for nondegenerate manifolds resolving a long-standing problem in the theory of Diophantine approximation. In this paper, we prove an effective version of their result.