零级狄里克莱级数的增长性

零级狄里克莱级数的增长性 ON THE GROWTH OF DIRICHLET SERIES OF ZERO ORDER 高宗升 Gao Zongsheng 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 首先研究了全平面上零级狄里克莱级数的系数和增长性之间的关系，然后证明了对于本级随机狄里克莱级数所确定的随机整函数，在每条水平直线上的增长性几乎必然（ａ．ｓ．）与相应的狄里克莱级数所确定的整函数的增长性相同． This paper first Studies the relation between coefficients and the growth of Dirichlit se-ries of zero order in the whole plane,and further proves that the growth of random entire functions defined by random Dirichlet series of zero order in every horizotal straight lines is almost surely equal tothe growth of entire functions defined by its corresponding Dirichlet series. 狄里克莱级数 系数 增长性 Dirichlet series coefficient growth O173 国家自然科学基金(61672102) 1994-02-01 2021-04-01 2