Subconvex $L^p$-sets, Weyl's inequality, and equidistribution

Trevor D. Wooley

We examine sets $\mathcal{A}$ of natural numbers having the property that for some real number $p\in (0,2)$, one has the subconvex bound $$\int_0^1 \Bigl| \sum_{n\in \mathscr A\cap…