Discrete restriction estimates for forms in many variables

被引：0

作者：

Cook, Brian ^{[1
]}

Hughes, Kevin ^{[2
,3
]}

Palsson, Eyvindur ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] Univ Bristol, Sch Math, Bristol, England

[3] Heilbronn Inst Math Res, Bristol, England

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2023年 / 66卷 / 04期

关键词：

discrete restriction estimates; the circle method; Diophantine equations in many variables; FOURIER RESTRICTION;

D O I：

10.1017/S0013091523000366

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove discrete restriction estimates for a broad class of hypersurfaces arising in seminal work of Birch. To do so, we use a variant of Bourgain's arithmetic version of the Tomas-Stein method and Magyar's decomposition of the Fourier transform of the indicator function of the integer points on a hypersurface.

引用

页码：923 / 939

页数：17

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