Ayreena Bakhtawar

activity

20182026

most citedHausdorff dimension of a set in the theory of continued fractions

21 citations · 37 across the 12 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 7 cited

Increasing rate of weighted product of partial quotients in continued fractions

Ayreena Bakhtawar, Jing Feng

Let $[a_{1} (x), a_{2} (x), \dots, a_{n} (x), \dots]$ be the continued fraction expansion of $x \in [0, 1)$ . In this paper, we study the increasing rate of the weighted product $a^{t_0}_n(x)a^{t…

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.NT2022

Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions

Ayreena Bakhtawar, David Simmons

Let $ψ : R_{+} \to R_{+}$ be a nonincreasing function. A pair $(A, b),$ where $A$ is a real $m \times n$ matrix and $b \in R^{m},$ is said to be $ψ…