Dirichlet级数余项在右半平面的广义级和广义型  

Generalized Order and Generalized Type of Remainder of Dirichlet Series in the Right Half Plane

作　　者：宁菊红[1] 朱丽荣 黄文平 NING Ju-hong;ZHU Li-rong;HUANG Wen-ping(College of Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,China;Yujiang No.l Middle School,Yingtan 335200,China;Basic Department,Army Infantry Academy,Nanchang 330103,China)

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022 [2]鹰潭市余江区余江一中学,江西鹰潭335200 [3]陆军步兵学院基础部,江西南昌330103

出　　处：《数学的实践与认识》2020年第17期162-168,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11661044)。

摘　　要：引进了右半平面上Dirichlet级数的广义级和广义型概念,得到了用最大模,最大项表示的广义级,广义型与用余项E(n-1)(f,α),Rn(f,α)及指数λn表示的广义级,广义型之间的关系.The concept of generalized order and generalized type of Dirichlet series in the right half-plane is introduced firstly,then we get the relationships between generalized order,generalized type represented by maximum term and maximum modular of Dirichlet series and generalized order,generalized type represented by remainder En-1(f,α),Rn(f,α)and exponents of Dirichlet series.

关 键 词：DIRICHLET级数 广义级 广义型 余项 

分 类 号：O173[理学—数学]