The primitive roots and a problem related to the Golomb conjecture

In this paper, we use elementary methods, properties of Gauss sums and estimates for character sums to study a problem related to primitive roots, and prove the following result. Let $p$ be a large enough odd prime. Then for any two distinct integers $a, b \in \{1, 2,\cdots, p-1\}$, there exist thre...

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Bibliographic Details
Main Authors: Wenpeng Zhang, Tingting Wang
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020252/fulltext.html