Hausdorff dimension of a set in the theory of continued fractions

Ayreena Bakhtawar, Philip Bos, Mumtaz Hussain

In this article we calculate the Hausdorff dimension of the set \begin{equation*} \mathcal{F}(Φ)=\left\{ x\in \lbrack 0,1):\begin{aligned}a_{n+1}(x)a_n(x) \geq Φ(n) \ {\rm for \ in…