Uniform Diophantine approximation related to -ary and -expansions
Uniform Diophantine approximation related to -ary and -expansions
Let $b\geq 2$ be an integer and $\hat{v}$ a real number. Among other results, we compute the Hausdorff dimension of the set of real numbers ${\it\xi}$ with the property that, for every sufficiently large integer $N$ , there exists an integer $n$ such that $1\leq n\leq N$ and the distance …