半平面上随机Dirichlet级数的增长性

The Growth of Random Diriehlet Series on the Right Half-plane

在较弱的系数条件下证明了右半平面上Dirichlet级数增长性定理,并应用到随机Dirich- let级数上去,得到了在一定条件下,两类级数a.s.有相同的增长级,从而推广和改良一系列定理,使相关问题的研究变得方便简洁．

This paper proves a theorem about the growth of the Dirichcet series on the right half-plane under weak conditions of coefficients, and obtains that Dirichlet series and some random Dirichlet series a.s. have the same order under certain conditions, which extend and improve a series of known theorems.