整Dirichlet级数的增长性  

The Growth of Entire Dirichlet Series

作　　者：丁晓庆[1] 刘军霞[1] 孙华杰[1] 

机构地区：[1]西北工业大学理学院,西安710072

出　　处：《西安工业大学学报》2007年第6期588-590,共3页Journal of Xi’an Technological University

基　　金：陕西省自然科学基础研究计划资助项目(2006A09)

摘　　要：研究零级整Dirichlet级数的增长性.引进一类严格单调增函数,不对此函数取对数,提出一种新的增长指标.在较弱的指数条件下,得到了此增长指标与其系数之间一种新的关系.此类函数的引入对于零级整Dirichlet级数增长性的研究具有一定的理论意义.The growth of entire Dirichlet series of order zero is investigated. A new growth index is put forward with the introduction to a strictly monotone increasing function other than the logarithm to this function. New relation between the coefficients and growth index is obtained under a weaker exponent condition. Introducing this function is of theoretical significance in studying the growth of entire Dirichlet series of order zero.

关 键 词：DIRICHLET级数 零级 增长指标 增长性 

分 类 号：O174.5[理学—数学]