6 papers
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 , def…
On the minimum of -Brjuno functions
Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi
-Brjuno functions were introduced in \cite{MaMoYo_06} as an interesting variant of the classical Brjuno function, where one substitutes the singularity at with the…
Hausdorff dimension for the weighted products of multiple digits in d-decaying Gauss like systems
Ayreena Bakhtawar, MichaÅ Rams
We compute the Hausdorff dimension of sets defined by the growth of weighted products of multiple digits at arbitrary positions in -decaying Gauss-like iterated function systems…
Sharpening Vahlen's result in Diophantine approximation
Ayreena Bakhtawar, Cor Kraaikamp
n this paper we refine Vahlen's 1895 result in Diophantine approximation by providing sharper bounds for the approximation coefficients, especially when at least one of the partial…
Uniform Diophantine approximation on the Hecke group
Ayreena Bakhtawar, Dong Han Kim, Seul Bee Lee
Dirichlet's uniform approximation theorem is a fundamental result in Diophantine approximation that gives an optimal rate of approximation with a given bound. We study uniform Diop…
Global and local minima of -Brjuno functions
Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi
The main goal of this article is to analyze some peculiar features of the global (and local) minima of -Brjuno functions where Our starting point is the re…