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Published in 2021 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnab278
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…
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Keywords:
restriction exponential;
sums hypersurfaces;
exponential sums;