Yuefeng Tang

collaborators

2 papers

math.NT2025

Hausdorff dimension of sets of continued fractions with unbounded partial quotients along subsequence

Yuefeng Tang

Let $x = [a_{1} (x), a_{2} (x), \dots]$ be the continued fraction expansion of $x \in [0, 1)$ . We prove that the Hausdorff dimension of \begin{equation*}E_{even}=\{x\in[0,1)\colon a_{2n}(x)\to…

math.NT2025

Hausdorff dimension of sets of continued fractions with bounded odd and even order partial quotients

Yuefeng Tang

We study the continued fractions with bounded odd/even-order partial quotients. In particular, we investigate the sizes of the sets of continued fractions whose odd-order partial q…