Ayreena Bakhtawar

collaborators

3 papers

math.NT2019

Hausdorff dimension for the set of points connected with the generalized Jarník-Besicovitch set

Ayreena Bakhtawar

In this article we aim to investigate the Hausdorff dimension of the set of points $x \in [0, 1)$ such that for any $r \in N,$ \begin{align*} a_{n+1}(x)a_{n+2}(x)\cdots a_{n+…

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…

math.NT2018

The sets of Dirichlet non-improvable numbers vs well-approximable numbers

Ayreena Bakhtawar, Philip Bos, Mumtaz Hussain

Let $Ψ : [1, \infty) \to R_{+}$ be a non-decreasing function, $a_{n} (x)$ the $n$ '{th} partial quotient of $x$ and $q_{n} (x)$ the denominator of the $n$ '{th} convergen…