Restriction of exponential sums to hypersurfaces

2021/04/23 by Demeter, Ciprian, Langowski, Bartosz · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2104.11367

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^ε losses. In a few instances, we manage to remove these losses.

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