To Resolve The Growth Of The Dirichlet Series

This thesis deals with the growth and the regular growth of Dirichlet series, and extends some known results by weakening the conditions which were introduced by predecessors.Chapter 1 outlines the history of the researches on Dirichlet series, and presents some results obtained in this thesis.In Chapter 2, the known conditionis weakened to study further the p{R) -order of the analytic Dirichlet series, and some more general results are acquired. Furthermore, the growth of Dirichlet series with the same p(R) -order are considered by making use of the type p(R) under similarcoefficient conditionIn Chapter 3, a kind of special indexis introduced to research further the growth and the regular growth of analytic Dirichlet series, and some results are obtained.