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Quantitative Khintchine in Simultaneous Approximation
Shreyasi Datta · 2022-09-29 · via cs.IT updates on arXiv.org

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.