Moderate expanders over rings

被引：2

作者：

Dao Nguyen Van Anh ^{[1
]}

Le Quang Ham ^{[2
]}

Koh, Doowon ^{[3
]}

Mirzaei, Mozhgan ^{[4
]}

Mojarrad, Hossein ^{[5
]}

Thang Pham ^{[6
]}

机构：

[1] Olympia Sch Hanoi, Hanoi, Vietnam

[2] Hanoi Univ Sci, Hanoi, Vietnam

[3] Chungbuk Natl Univ, Cheongju, South Korea

[4] Univ Calif San Diego, La Jolla, CA 92093 USA

[5] NYU, New York, NY 10003 USA

[6] Univ Rochester, Rochester, NY 14627 USA

来源：

JOURNAL OF NUMBER THEORY | 2021年 / 218卷

基金：

瑞士国家科学基金会; 新加坡国家研究基金会;

关键词：

Finite fields; Expanders; Local rings; Polynomials; PRODUCTS; SUMS;

D O I：

10.1016/j.jnt.2020.07.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we provide a large class of moderate expanders with the exponents 3/8 and 5/13 over arbitrary finite fields and prime fields, respectively. Our main ingredients are an energy result due to the third, fourth, sixth listed authors and Shen (2019) and a theorem on two-variable expanding functions given by Hegyvari and Hennecart (2009). Using the same approach, we derive similar results in the setting of finite local and principal rings. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：223 / 233

页数：11

共 20 条

[1] Group actions and geometric combinatorics in IFqd [J].