Averages in vector spaces over finite fields

被引：13

作者：

Carbery, Anthony ^{[1
,2
]}

Stones, Brendan ^{[3
]}

Wright, James ^{[1
,2
]}

机构：

[1] Univ Edinburgh, Sch Math, JCMB, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Univ Edinburgh, Maxwell Inst Math Sci, JCMB, Edinburgh EH9 3JZ, Midlothian, Scotland

[3] John Henry Newman Sch, Stevenage SG1 4AE, Herts, England

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2008年 / 144卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1017/S0305004107000680

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the analogues of the problems of averages and maximal averages over a surface in R-n when the euclidean structure is replaced by that of a vector space over a finite field, and obtain optimal results in a number of model cases.

引用

页码：13 / 27

页数：15

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