Restriction of Exponential Sums to Hypersurfaces

被引：2

作者：

Demeter, Ciprian ^{[1
]}

Langowski, Bartosz ^{[1
,2
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, PL-50370 Wroclaw, Poland

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 02期

关键词：

PROOF;

D O I：

10.1093/imrn/rnab278

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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-is an element of losses. In a few instances, we manage to remove these losses.

引用

页码：1292 / 1354

页数：63

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