Dirichlet级数的准确级和型的系数重排  

Rearrangements of the Coefficients on the Proximate Order and Type of Dirichlet Series

作　　者：牛英春[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028000

出　　处：《湖北民族学院学报（自然科学版）》2016年第3期291-294,共4页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(11461052);内蒙古自然科学基金项目(2014BS0106)

摘　　要：研究了Dirichlet级数的系数重排与Dirichlet级数增长性之间的关系.对整Dirichlet级数的准确级进行了研究,得到了使其保持不变的系数重排所满足的条件;还研究了控制准确级的型的指标,得到了系数重排下,使准确级的型及其范围保持不变的充要条件.The relationship between the growth of Dirichlet Series and rearrangments of its coefficients is studied.Proximate order and its type respectively are researched.The condition of rearrangements of coefficients that keeps the quantums unvarying is obtained.In addition,the index that controls the type of proximate order is studied and the condition of rearrangements of coefficients that keeps the type and its range unvarying is obtained.

关 键 词：DIRICHLET级数 型 准确级 重排 

分 类 号：O174.52[理学—数学]