Lei Shang

collaborators

3 papers

math.NT2021

A useful lemma for calculating the Hausdorff dimension of certain sets in Engel expansions

Lei Shang

Let ${s_{n}}$ and ${t_{n}}$ be two sequences of positive real numbers. Under some mild conditions on ${s_{n}}$ and ${t_{n}}$ , we give the precise formula of the Hausdorff dimension…

math.DS2021

On upper and lower fast Knintchine spectra of continued fractions

Lulu Fang, Lei Shang, Min Wu

Let $ψ : N \to R^{+}$ be a function satisfying $ϕ (n) / n \to \infty$ as $n \to \infty$ . We investigate from a multifractal analysis point of view the growth rate of the s…

math.NT2021

On the exponent of convergence of Engel series

Lei Shang, Min Wu

For $x \in (0, 1)$ , let $⟨ d_{1} (x), d_{2} (x), d_{3} (x), \dots ⟩$ be the Engel series expansion of $x$ . Denote by $λ (x)$ the exponent of convergence of the sequence ${d_{n} (x)}$ ,…