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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…