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math.DS2025
Hausdorff dimension for the weighted products of multiple digits in d-decaying Gauss like systems
Ayreena Bakhtawar, Michał 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…
math.DS2025
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…
math.NT2025
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…