数学季刊 >

2015 , Vol. 30 >Issue 4: 515 - 523

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.04.004

全平面上Dirichlet级数的级与余项估计

展开
  • 1. Attached Primary School of Jiangxi Normal University2. College of Mathematics and Information Science, Jiangxi Normal University
HUANG Hui-jun(1989-), female, native of Jian, Jiangxi, a teacher of Attached Primary School of Jiangxi Normal University, engages in studying of complex analysis; NING Ju-hong(correspording author)(1977-), female, native of Sanmenxia, Henan, an associate professor of Jiangxi Normal University, engages in studying of complex analysis.

收稿日期: 2013-09-22

  网络出版日期: 2020-11-19

基金资助

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

收起

Order of Dirichlet Series in the Whole Plane and Remainder Estimation

Expand
  • 1. Attached Primary School of Jiangxi Normal University2. College of Mathematics and Information Science, Jiangxi Normal University
HUANG Hui-jun(1989-), female, native of Jian, Jiangxi, a teacher of Attached Primary School of Jiangxi Normal University, engages in studying of complex analysis; NING Ju-hong(correspording author)(1977-), female, native of Sanmenxia, Henan, an associate professor of Jiangxi Normal University, engages in studying of complex analysis.

Received date: 2013-09-22

  Online published: 2020-11-19

Supported by

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

Fold

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. 

关键词： Dirichlet series; ρ order; ρβorder; remainder estimation

本文引用格式

黄慧珺, 宁菊红 . 全平面上Dirichlet级数的级与余项估计[J]. 数学季刊, 2015 , 30(4) : 515 -523 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.04.004

Abstract

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. 

Key words： Dirichlet series; ρ order; ρβorder; remainder estimation

Options
文章导航

/

〈 〉

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn