Restriction of exponential sums to hypersurfaces

Ciprian Demeter, Bartosz Langowski

Published 2021-04-23Version 1

We prove moment inequalities for exponential sums with respect to singular measures, whose Fourier decay matches those of curved hypersurfaces. Our emphasis will be on proving estimates that are sharp with respect to the scale parameter $N$, apart from $N^\epsilon$ losses. In a few instances, we manage to remove these losses.