Ubiquity of simplices in subsets of vector spaces over finite fields

被引：0

作者：

Hart, Derrick ^{[1
]}

Iosevich, Alex ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

ANALYSIS MATHEMATICA | 2008年 / 34卷 / 01期

关键词：

D O I：

10.1007/s10476-008-0103-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a sufficiently large subset of the d-dimensional vector space over a finite field with q elements, F-q(d), contains a copy of every k-simplex. Fourier analytic methods, Kloosterman sums, and bootstrapping play an important role.

引用

页码：29 / 38

页数：10

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