摘要
In this paper, firstly, the ρ order and ρβorder of Dirichlet series which converges in the whole plane are studied. Secondly, the equivalence relation between remainder logarithm ln En-1(f, α), ln Rn(f, α) and coefficients logarithm ln |an| is discussed respectively. Finally,the theory of applying remainder to estimate ρ order and ρβorder can be obtained by using the equivalence relation.
In this paper, firstly, the p order and pz order of Dirichlet series which converges in the whole plane are studied. Secondly, the equivalence relation between remainder logarithm In En-1 （f, α）, In Rn（f, α） and coefficients logarithm In ｜an｜ is discussed respectively. Finally, the theory of applying remainder to estimate ρorder and ρβ order can be obtained by using the equivalence relation.
基金
Supported by the National Natural Science Foundation of China(11171119)
Supported by the National Science Foundation of Jiangxi Province(20122BAB211005,2010GQS0103)
