关键词: 随机Dirichlet级数, 增长级, 值分布

Abstract:

The growth and value distribution of the entire function expressed by a general Random Dirichlet series are studied in this paper. Theimportant results are obtained under suitable conditions: the order of growth in a  horizontal strip or on a line are the same as the whole plane a.s., for the Random Dirichlet series with order ρ(0＜ρ＜∞),there is at least a Borel line of order ρ without finite exceptional value in every horizontal strip of width \$[SX(]π[]ρ[SX)]\$ a.s..

Key words: Random Dirichlet series； The order of growth； The value distribution