Product graphs, sum-product graphs and sum-product estimates over finite rings

被引：5

作者：

Le Anh Vinh ^{[1
]}

机构：

[1] Vietnam Natl Univ, Univ Educ, Hanoi 100000, Vietnam

来源：

FORUM MATHEMATICUM | 2015年 / 27卷 / 03期

关键词：

Bilinear equations; product graphs; sum-product graphs; sum-product estimates; FIELDS;

D O I：

10.1515/forum-2012-0177

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the product and sum-product graphs defined over the residue ring mod m. We show that all (or almost all) systems of dot-product equations are solvable in any sufficiently large subset epsilon subset of Z(m)(d). We also prove some results on sum-product estimates in Z(m).

引用

页码：1639 / 1655

页数：17

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