Reuben Wheeler

activity

20212024

collaborators

3 papers

math.CA2024

Variation bounds for spherical averages over restricted dilates

Reuben Wheeler

We study $L^{p} \to L^{q} (V_{E}^{r})$ variation semi-norm estimates for the spherical averaging operator, where $E \subset [1, 2]$ .

math.CA2022

Root structures of polynomials with sparse exponents

Reuben Wheeler

For real polynomials with (sparse) exponents in some fixed set, \[ Ψ(t)=x+y_1t^{k_1}+\ldots +y_L t^{k_L}, \] we analyse the types of root structures that might occur as the coeffic…

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…