The Mean Value Of Several Kinds Of Smarnadache Function

In this dissertation,we studied the mean value and the hybrid mean value of some number theory functions.The main achievements contained in this dissertation are as follows:1.Using the elementary methods to study the asymptotic propertie of(?)e_p(n)d(n),and give an preciser formula than literature [2]for it.Using an interval halving method,we studied the hybrid mean value involving e_p(n).2.Using the elementary methods and analytic methods,we studied the hybrid mean value of several kinds of special Smarnadache function,and obtained some new asymptotic formulaes.3.A new arithmetical function is introduced.Using the Perron formula,a inter-sting mean value formulae is given.