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arXiv · 2102.02151

Fourier Dimension Estimates for Sets of Exact Approximation Order: the Well-Approximable Case

Robert Fraser·Reuben Wheeler
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Abstract

We obtain a Fourier dimension estimate for sets of exact approximation order introduced by Bugeaud for certain approximation functions $\psi$. This Fourier dimension estimate implies that these sets of exact approximation order contain normal numbers.

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Robert Fraser, Reuben Wheeler. 2021-02-03. Fourier Dimension Estimates for Sets of Exact Approximation Order: the Well-Approximable Case. https://arxiv.org/abs/2102.02151

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