Moderate expanders over rings
https://doi.org/10.1016/j.jnt.2020.07.009Publisher, magazine: ,
Publication year: 2021
Lưu Trích dẫn Chia sẻAbstract
In this note, we provide a large class of moderate expanders with the exponents and 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 Hegyvári and Hennecart (2009). Using the same approach, we derive similar results in the setting of finite local and principal rings.
Tags: Finite fields, Expanders, Local rings, Polynomials
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