| 左半平面上零级Dirichlet级数及随机Dirichlet级数的对数级 |
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| 引用本文： | 周凤麟,罗国顺,周永正,徐洪焱.左半平面上零级Dirichlet级数及随机Dirichlet级数的对数级[J].南昌大学学报(理科版),2011,35(2). |
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| 作者姓名： | 周凤麟 罗国顺 周永正 徐洪焱 |
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| 作者单位： | 1. 景德镇陶瓷学院信息工程学院,江西,景德镇,333403
2. 江西中医学院高职学院,江西,南昌,33004 |
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| 基金项目： | 江西省自然科学(青年)基金资助项目(2010GQS0119); 江西省教育厅青年科学基金资助项目(GJJ10223) |
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| 摘 要： | 引入亚纯函数中的对数级概念,讨论半平面上零级Dirichlet级数以及随机Dirichlet级数的增长性,得到了Dirichle级数的对数增长性与其系数之间有关联的几个定理。
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| 关 键 词： | Dirichlet级数 随机Dirichelt级数 对数级 增长性 |
Logarithmic order of Dirichlet series and random Dirichlet series of zero order In the left half plane |
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| ZHOU Feng-lin,LUO Guo-shun,ZHOU Yong-zheng,XU Hong-yan.Logarithmic order of Dirichlet series and random Dirichlet series of zero order In the left half plane[J].Journal of Nanchang University(Natural Science),2011,35(2). |
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| Authors: | ZHOU Feng-lin LUO Guo-shun ZHOU Yong-zheng XU Hong-yan |
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| Institution: | ZHOU Feng-lin1,LUO Guo-shun2,ZHOU Yong-zheng1,XU Hong-yan11.Department of Informatics and Engineering,Jingdezhen Ceramic Institute,Jiangxi Jingdezhen 333403,China,2.Higher Technology Institute,Jiangxi University of Traditional Chinese Medicine,Nanchang 330004,China) |
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| Abstract: | This paper,precisely studied the growth of zero order of Dirichlet series and random Dirichlet series in the half-plane,by introducing the concepts of logarithmic order of meromorphic functions.Some related theorems about logarithmic order and coefficient of Dirichlet series were derived. |
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| Keywords: | Dirichlet series random Dirichlet series logarithmic order growth |
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