Wan Cheng

collaborators

3 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.NT2026

Metric properties of continued fractions with large prime partial quotients

Wanjin Cheng, Wen Wu

Let $x \in [0, 1)$ with continued fraction expansion $[a_{1} (x), a_{2} (x), \dots]$ , and let $I ¨ : N \to R^{+}$ be a non-decreasing function. We consider the numbers whose cont…

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

Metric properties of continued fractions with large prime partial quotients

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