Order of Dirichlet Series in the Whole Plane and Remainder Estimation  

全平面上Dirichlet级数的级与余项估计（英文）

作　　者：黄慧珺 宁菊红 

机构地区：[1]Attached Primary School of Jiangxi Normal University [2]College of Mathematics and Information Science, Jiangxi Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第4期515-523,共9页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11171119);Supported by the National Science Foundation of Jiangxi Province(20122BAB211005,2010GQS0103)

摘　　要：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.

关 键 词：Dirichlet series ρ order ρβorder remainder estimation 

分 类 号：O174.5[理学—数学]