Some Identities Involving Certain Hardy Sums and Ramanujan Sum

Citation
Liu, Hong Yan et Zhang, Wen Peng, Some Identities Involving Certain Hardy Sums and Ramanujan Sum, Acta mathematica Sinica. English series (Print) , 21(1), 2004, pp. 109-116
ISSN journal
14398516
Volume
21
Issue
1
Year of publication
2004
Pages
109 - 116
Database
ACNP
SICI code
Abstract
The main purpose of this paper is, using the mean-value theorem of Dirichlet l-functions, to study the distribution properties of the hybrid mean value involving certain Hardy sums and Ramanujan sum, and give four interesting identities.