Metric theory of Weyl sums

Changhao Chen, Bryce Kerr, James Maynard +1

We prove that there exist positive constants $C$ and $c$ such that for any integer $d\ge 2$ the set of $\mathbf{x}\in [0,1{)}^d$ satisfying $$ cN^{1/2}\le \left|\sum^N_{n=1}\exp\le…