Restriction of Exponential Sums to Hypersurfaces-Reference-Cited by-同舟云学术

Restriction of Exponential Sums to Hypersurfaces

Published:2021-10-12 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Demeter Ciprian¹,Langowski Bartosz¹²

Affiliation:

1. Department of Mathematics, Indiana University, Bloomington, IN 47405, USA

2. Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, 50370 Wrocław, Poland

Abstract

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 remove these losses.

Funder

NSF

National Science Centre of Poland

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab278/40571655/rnab278.pdf

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