On two sums related to the Lehmer problem over short intervals

• Published in: AIMS mathematics Vol. 6; no. 11; pp. 11723 - 11732
• Main Author: Song, Yanbo
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: asymptotic formula; dirichlet character; lehmer problem

In this article, we study sums related to the Lehmer problem over short intervals, and give two asymptotic formulae for them. The original Lehmer problem is to count the numbers coprime to a prime such that the number and the its number theoretical inverse are in different parities in some intervals...