Solvability of Systems of General Equations over Finite Fields

被引：0

作者：

Le Anh Vinh ^{[1
]}

机构：

[1] Vietnam Natl Univ, Univ Educ, Hanoi, Vietnam

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2014年 / 63卷 / 01期

关键词：

General equations; general distances; finite fields; SUM-PRODUCT ESTIMATE; VECTOR-SPACES; BILINEAR EQUATIONS; POSITIVE DENSITY; DISTANCE PROBLEM; SETS; SUBSETS; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study systems of general equations over finite fields via colored directed expanders. We show that almost all systems of general equations are solvable in any large subset of vector spaces over finite fields.

引用

页码：281 / 302

页数：22

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