全平面上q-级随机Dirichlet级数的Borel线

Borel Lines of the Random Dirichlet Series of q-order on the Whole Plane

研究由全平面上收敛的q-级随机Dirichlet级数表示的整函数F(s,ω)的值分布性质,得到了q-级随机Dirichlet级数表示的整函数几乎必然(a.s.)每条水平直线是F(s,ω)的没有有限例外值的q-级Borel线.

In this paper,the value distribution of the random entire function F（ s,ω） defined by some random Dirichlet series of qorder on the whole plane is obtained. It is proved that,for some random Dirichlet series of q-order,almost surely every horizontal line is a Borel line of q-order without finite exceptional values.