Dirichlet级数及其Dirichlet-Hadamard乘积的增长性  

The Growth of Dirichlet Series and Its Dirichlet-Hadamard Product

作　　者：徐洪焱 孔荫莹 崔永琴 XU Hongyan;KONG Yinying;CUI Yongqin(Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China;School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China.)

机构地区：[1]景德镇陶瓷大学信息工程学院,江西景德镇333403 [2]广东财经大学统计与数学学院,广州510320

出　　处：《数学年刊（A辑）》2018年第1期77-86,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11561033);国家高等教育质量常态监测数据中心(广州)开放基金(No.G1613);江西省自然科学基金(No.20151BAB201008);广东省自然科学基金(No.2015A030313628);江西省教育厅科技项目(No.GJJ150902;No.GJJ160914);广东省高等学校优秀青年教师培养计划(No.Yqgdufe1405)的资助

摘　　要：研究了一类Dirichlet级数关于q-级的增长性问题,并讨论了由两个Dirichlet级数组成的Dirichlet-Hadamard乘积的增长性,获得了Dirichlet-Hadamard乘积与原级数在增长性方面的几个关系.The purpose of this paper is to study the growth of Dirichlet series with finite qorder in the whole plane. The authors also investigate the growth of the Dirichlet-Hadamard product of Dirichlet series, and obtain some relationships about the growth between Dirichlet series and its Dirichlet-Hadamard product.

关 键 词：DIRICHLET级数 χ[q]-型 非正规增长性 

分 类 号：O174.55[理学—数学]