On the Golomb’s conjecture and Lehmer’s numbers

Let p be an odd prime. For each integer a with 1 ≤ a ≤ p − 1, it is clear that there exists one and only one ā with 1 ≤ ā ≤ p − 1 such that a · ā ≡ 1 mod p. Let N(p) denote the set of all primitive roots a mod p with 1 ≤ a ≤ p − 1 in which a and ā are of opposite parity. The main purpose of this pap...

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Bibliographic Details
Main Authors: Tingting Wang, Xiaonan Wang
Format: Article
Language:English
Published: De Gruyter 2017-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0083