Moderate expanders over rings

JOURNAL OF NUMBER THEORY

卷:218

Article

Dao Nguyen Van Anh¹  Le Quang Ham²  Koh, Doowon³  Mirzaei, Mozhgan⁴  Mojarrad, Hossein⁵  Thang Pham⁶ 

[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

关键词: Finite fields;    Expanders;    Local rings;    Polynomials;   

DOI  :  10.1016/j.jnt.2020.07.009

来源: Elsevier

【 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.

【 授权许可】

Free