在矩控制下随机Dirichlet级数的(p,q)(R)型

The (p,q)(R) Type of Random Dirichlet Series under the Condition of Moment

研究了一类一般的随机Dirichlet级数在矩控制条件0≤d2σn2=d2E︱Zn︱2≤E2︱Zn︱<+∞下的(p,q)(R)型,得出的主要结论是:这类随机Dirichlet级数的(p,q)(R)型a.s.等于相应Dirichlet级数的(p,q)(R)型,以及在水平直线上和水平带形上的(p,q)(R)型a.s.等于各自在全平面上的(p,q)(R)型.

The（p,q）（R） type of a kind of general random Dirichlet series under the condition that of 0≤d2σn2=d2E︱Zn︱2≤E2︱Zn︱＋∞ has been studied.The main conclusion drawn is that the（p,q）（R） type of this kind of random Dirichlet is almost surely the same as that of corresponding Dirichlet series,and the（p,q）（R） types of horizontal line and horizontal zone are almost surely the same as that of each in the whole plane.