Restriction of Exponential Sums to Hypersurfaces
Restriction of Exponential Sums to Hypersurfaces
Abstract 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 …