The quantitative Beurling-Helson Theorem

Tom Sanders

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