Quantitative Khintchine in Simultaneous Approximation
arXiv:2209.14196
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.
arXiv comment11 pages, comments welcome!