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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math.DS2026

Sharpening Borel's result in Diophantine approximation

Savita S. Adhin, Ayreena Bakhtawar, Cor Kraaikamp

In this paper, we refine Borel's 1903 result in Diophantine approximation by providing sharper bounds for the minimum of three consecutive approximation coefficients $Θ_{n} (x)$ , defi…

math.DS2026

On the minimum of $σ$ -Brjuno functions

Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi

$σ$ -Brjuno functions were introduced in \cite{MaMoYo_06} as an interesting variant of the classical Brjuno function, where one substitutes the $lo g$ singularity at $x = 0$ with the…

Sharpening Borel's result in Diophantine approximation

On the minimum of σ-Brjuno functions

On the minimum of $σ$ -Brjuno functions