Quantitative Khintchine in Simultaneous Approximation

Published 28 Sep 2022 in math.NT, cs.IT, math.DS, and math.IT | (2209.14196v1)

Abstract: In a ground-breaking work \cite{BY}, 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.

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Shreyasi Datta

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