The main purpose of this paper is, using the mean-value theorem of Dirichletl-functions, to study the distribution properties of the hybrid mean value involving certain Hardysums and Ramanujan sum, and give four inter...The main purpose of this paper is, using the mean-value theorem of Dirichletl-functions, to study the distribution properties of the hybrid mean value involving certain Hardysums and Ramanujan sum, and give four interesting identities.展开更多
基金This work is supported by the NSF(10271093)the PNSF of P.R.China
文摘The main purpose of this paper is, using the mean-value theorem of Dirichletl-functions, to study the distribution properties of the hybrid mean value involving certain Hardysums and Ramanujan sum, and give four interesting identities.