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math.DS2024
Regularity properties of the -Wilton functions
Ayreena Bakhtawar, Carlo Carminati, Seul Bee Lee
The aim of this article is to study the regularity properties of the Wilton functions associated with -continued fractions. We prove that the Wilton function is BMO for $α…
math.DS2019
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…