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

2021/02/03 by Fraser, Robert, Wheeler, Reuben · 1 citation
#11J83 #28A80 #42A99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2102.02151

Abstract

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

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