Reuben Wheeler

activity

20202024

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2023

Fourier Dimension Estimates for Sets of Exact Approximation Order: The Badly-Approximable Case

Robert Fraser, Reuben Wheeler

We show for decreasing, positive approximation functions $ψ$ such that $τ = lim_{q \to \infty} \frac{l o g ψ ( q )}{l o g q} < \frac{13 + 73}{8}$ and such that $q^{2} ψ (q) \to 0$ t…

math.NT2021

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

Robert Fraser, Reuben Wheeler

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…