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
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.