A quantitative framework for sets of exact approximation order by rational numbers

Simon Baker, Benjamin Ward

In this paper we study a quantitative notion of exactness within Diophantine approximation. Given $\hat{I}¨:(0,\infty )\to (0,\infty )$ and $\ddot{I}‰:(0,\infty )\to (0,1)$ satisfying $\lim_{q\to\…