The Growth Of Dirichlet Series And Random Dirichlet Series On The Half Plane

In this paper we study the growth of Dirichlet series and random Dirichlet series on the half plane. Fistly,we discuss the growth of general Dirichlet series on the half plane and obtain two results about the order and type of Dirichlet series by the old method;Secondly,we discuss the growth of random Dirichlet series of order zero、 finite order and infinite order.In the some conditions,we obtain some significant results by the style function.It make a progress to describe the growth of random Dirichlet series.