Quantitative Khintchine in Simultaneous Approximation
Number Theory
2022-09-29 v1 Information Theory
Dynamical Systems
math.IT
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.
Keywords
Cite
@article{arxiv.2209.14196,
title = {Quantitative Khintchine in Simultaneous Approximation},
author = {Shreyasi Datta},
journal= {arXiv preprint arXiv:2209.14196},
year = {2022}
}
Comments
11 pages, comments welcome!