Dirichlet Series And Random Dirichlet Series Growth And Value Distribution

In this paper,according to the related articles of Taylor series,we discussabout Dirichlet series in the whole plane and the half plane by the idea oftransferring the radius of convergence to the abscissa of convergence.First,theequipollence relations among growth,coefficient and exponent for Dirichletseries on the complex whole plane are investigated in the condition of fourdifferent type-functions.Meanwhile,the normal growth of Dirichlet series isproved in the definition of normal order.Second,under a wider coefficientcondition,we prove that every point on the imaginary axis is almost surelya strong Borel point with no exceptional small functions for some randomDirichlet series of positive finite order in the right half plane.