Some Property Of Random Dirichlet Series And B-Valued Random Dirichlet Series

Content: In this paper, we investgated the (p,q)(R) type of two kinds of random Dirichlet series and the (p,q)(R) order and the (p,q)(R) type of two kinds of B-valued random Dirichlet series by use the methods of complex analysis, probability and random series. The thesis consists of three parts:In chapter 1, we introduced the brief history, the present researching situation of this research direction, and some essential preparation knowledge and symbol.In chapter 2, we studied the (p,q)(R) type of two kinds of general random Dirichlet series, and obtained the (p,q)(R) type in whole plane of these two kinds of random Dirichlet series is almost surely equal to the (p,q)(R) in whole plane of the corresponding Dirichlet series, as well as the (p,q)(R) type in horizontal line and in horizontal zone is almost surely equal to the (p,q)(R) type of the corresponding Dirichlet series in whole plane respectively.In chapter 3, we studied the (p,q)(R) order and the (p,q)(R) type in whole plane of two kinds of general B-valued random Dirichlet series, and obtained the (p,q)(R) order and the (p,q)(R) type of these two kinds of B-valued random Dirichlet series in whole plane is almost surely equal to that of corresponding Dirichlet series.