Xinyun Zhang

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20232026

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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 every $n \geq 1$ . Every $x \in [0, 1)$ admits a Cantor series expansion of the form $$ x = \frac{\varepsilon_1(x)}…

math.NT2025

Hausdorff dimension of the Cartesian product of exact approximation set in $β$ -expansions

Wanjin Cheng, Xinyun Zhang

In this paper, we study the metrical theory of Cartesian products of exact approximation sets in $β$ -expansions. More precisely, for an integer $d \geq 2$ and real numbers $β_{i} > 1$ …

Exact approximation order of real numbers in Cantor series expansions

Hausdorff dimension of the Cartesian product of exact approximation set in β-expansions

Hausdorff dimension of the Cartesian product of exact approximation set in $β$ -expansions