Quantitative Khintchine in Simultaneous Approximation

Shreyasi Datta

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arXiv · 2209.14196

Quantitative Khintchine in Simultaneous Approximation

Shreyasi Datta

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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. 2022-09-28. Quantitative Khintchine in Simultaneous Approximation. https://arxiv.org/abs/2209.14196

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