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math.NT2026
Averaged Fourier Estimates and Dyadic Approximation on the Cantor set
Prasuna Bandi
Let be the middle-third Cantor set and let be the natural Cantor probability measure. Let \[ γ=\frac{\log2}{\log3}. \] The two main results of this paper are \[ μ\{x\in C:\…
math.NT2026
On the Hausdorff Dimension of weighted exactly Approximable Vectors
Prasuna Bandi, Reynold Fregoli
We show that the Hausdorff dimension of -weighted -exactly approximable vectors in coincides with the Hausdorff dimension of -weighte…