On a Problem of D. H. Lehmer

Authors
Liu, Hua Ning Zhang, Wen Peng
Citation
Liu, Hua Ning et Zhang, Wen Peng, On a Problem of D. H. Lehmer, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 61-68
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
61 - 68
Database
ACNP
SICI code
Abstract
The main purpose of this paper is to use the Fourier expansion for character sums and the mean value theorem of Dirichlet L-functions to study the asymptotic property of the difference between a D. H. Lehmer number and its inverse modulo p (an odd prime). A interesting mean square value formula is also given.