Fourier Dimension Estimates for Sets of Exact Approximation Order: the Well-Approximable Case
Number Theory
2021-02-04 v1 Classical Analysis and ODEs
Abstract
We obtain a Fourier dimension estimate for sets of exact approximation order introduced by Bugeaud for certain approximation functions . This Fourier dimension estimate implies that these sets of exact approximation order contain normal numbers.
Cite
@article{arxiv.2102.02151,
title = {Fourier Dimension Estimates for Sets of Exact Approximation Order: the Well-Approximable Case},
author = {Robert Fraser and Reuben Wheeler},
journal= {arXiv preprint arXiv:2102.02151},
year = {2021}
}
Comments
16 pages, one figure