Tom Sanders

collaborators

3 papers

math.CA2026

The quantitative Beurling-Helson Theorem

Tom Sanders

We show that for any $ε > 0$ if $ϕ : T \to T$ is continuous and $\|\exp(-2πi z ϕ)\|_{A(\mathbb{T})} =O_{|z|\rightarrow \infty}(\log^{\frac{1}{8}-\va…

math.CO2026

On Rado's single equation theorem

Tom Sanders

We show that for non-zero integers $a$ and $b$ there is a natural number $N < exp (r^{2 + o_{a, b; r \to \infty} (1)})$ such that in any $r$ -colouring of ${1, \dots, N}$ there ar…

math.FA2025

Wiener-Pitt sets for compact Abelian groups

Przemysław Ohrysko, Tom Sanders, Michał Wojciechowski

Suppose that $G$ is a compact Hausdorff Abelian group. We say $μ \in M (G)$ is strongly continuous if $∣ μ ∣ (x + H) = 0$ for any $x \in G$ and any $H \leq G$ that is closed and of infinite…