The Thesis Deatls With The Growth And Regular Growth Of Dirichlet Series

Our purpose in this paper is that deatles with the growth and regular growth of Dirichlet series.Regular growth of Dirichlet series is an important study of question. The obtained results improve the known results and some better results of some properties of Dirichlet series are obtained. The main result are given in the preforce.This thesis devoted to study the above problems.The article can be devided into three section:In the part one,the achievement of the researches on Dirichlet series in the right half-plane and in whole plane for a few years are related.In the part two,I deal with two problems:(1)I study Dirichlet series in the right half-plane and obtain the relation between the order of growth and necessary condition of the growth Dirichlet series and some resultes similar to Dirichlet series are obtained;(2)The property of the order of∑are studied in the right half-plane.In the part three,I deal with two problems(1)I study Dirichlet series in the whole plane and to reaseach further the regular growth and an equivalent condition about regular growth in the whole plane is obtain; (2)The property of the order of∑are studied...