摘要
本文考虑随机Direhlet级数f(s,ω)=sum from n=1 to ∞(1/n)b_nZ_n(ω)e^(-λns)(1)这里{λ_n}满足0≤λ_1<λ_2<…<λn<…<↑+∝(2)当(1)的收敛横坐标σ_c(ω)-0 a.s.和f(s,ω)是几乎必然零级的随机Dirchlet级数时,引进准确零(R)级,考虑了[1]的几乎必然增长性,如文中定理1和定理2.
In this paper, Consider random Dirchlet Series f(s, w) =∑n=0∝ anzn(w)e-λns
where{λn} satisfy 0=λ0<λ1<…<λn<……t +∝, s=σ+it.
When abscissa of convergence of f(s、w) is 0 a.s.and the order of f(s.w) is 0 a.s.We introduce the proximate zero order(R) of f(s,w) in σ>0,and have obtained the a.s growth of f(s.w)in σ>0, as in Theorem1, Theorem2.
出处
《湖北大学学报（自然科学版）》
CAS
1989年第2期28-31,共4页
Journal of Hubei University：Natural Science
