The Fourier Restriction and Kakeya Problems over Rings of Integers Modulo N

被引：10
|
作者：
Hickman, Jonathan [1 ]
Wright, James [2 ]
机构：
[1] Univ Chicago, Dept Math, Eckhart Hall Room 414,5734 S Univ Ave, Chicago, IL 60637 USA
[2] Room 4621,James Clerk Maxwell Bldg,Kings Bldg, Edinburgh EH9 3FD, Midlothian, Scotland
来源：
DISCRETE ANALYSIS | 2018年
基金：
美国国家科学基金会;
关键词：
Fourier restriction; Kakeya; Congruence equations; EXTENSION-THEOREMS; RECENT PROGRESS; VECTOR-SPACES; FINITE; SETS; CURVES; CONJECTURES; TRANSFORMS; FAMILIES; SURFACES;
D O I：
10.19086/da.3682
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Fourier restriction phenomenon and the size of Kakeya sets are explored in the setting of the ring of integers modulo N for general N and a striking similarity with the corresponding euclidean problems is observed. One should contrast this with known results in the finite field setting.
引用
收藏
页码：1 / 54
页数：54
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