Xinyun Zhang

collaborators

2 papers

math.NT2026

Exact approximation order of real numbers in Cantor series expansions

Wanjin Cheng, Xinyun Zhang

Let $Q = {q_{n}}_{n \geq 1}$ be a sequence of integers with $q_{n} \geq 2$ for all $n \in N$ . For any real number $x \in [0, 1)$ , it can be expanded into the following infinite…

math.NT2025

Hausdorff dimension of the Cartesian product of exact approximation set in $I^^{2}$ -expansions

Wanjin Cheng, Xinyun Zhang

In this paper, we study the metrical theory of Cartesian products of exact approximation sets in $I^^{2}$ -expansions. More precisely, for an integer $d \geq 2$ and real numbers $Î²_i >…

Exact approximation order of real numbers in Cantor series expansions

Hausdorff dimension of the Cartesian product of exact approximation set in I^2-expansions

Hausdorff dimension of the Cartesian product of exact approximation set in $I^^{2}$ -expansions