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.
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页码：923 / 939
页数：17
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