Ayreena Bakhtawar

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20182024

most citedMetrical properties for the weighted products of multiple partial quotients in continued fractions

5 citations · 5 across the 2 of their papers we have counts for

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math.NT2022★ 5 cited

Metrical properties for the weighted products of multiple partial quotients in continued fractions

Ayreena Bakhtawar, Mumtaz Hussain, Dmitry Kleinbock +1

The classical Khintchine and Jarník theorems, generalizations of a consequence of Dirichlet's theorem, are fundamental results in the theory of Diophantine approximation. These the…

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.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…