On the primitive roots and the generalized Golomb’s conjecture

In this article, we use elementary methods and the estimate for character sums to study the properties of a certain primitive roots modulo p (an odd prime), and prove that the generalized Golomb’s conjecture is correct in a reduced residue system modulo p. This solved an open problem proposed by W....

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Bibliographic Details
Main Authors: Jiafan Zhang, Xingxing Lv
Format: Article
Language:English
Published: AIMS Press 2020-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020361/fulltext.html