右半平面上随机~Dirichlet 级数的值分布

The Distribution of Values of Random Dirichlet Series in the right half plane

摘要: 将一个较宽的系数条件推广到随机~Dirichlet 级数上, 并证明了右半平面上的有限级随机~Dirichlet 级数几乎必然~(a.s.) 以虚轴上每一点为没有例外小函数的强~Borel 点.
- 随机~Dirichlet 级数 /
- N- 序列 /
- 小函数 /
- 强~Borel 点
Abstract: A wider coefficient condition is generalized to random Dirichlet series ,and for some random Dirichlet series of positive finite order almost surely in the right half plane , a.s. every point on the imaginary axis is a strong Borel point with no exceptional small functions.
- random Dirichlet series /
- N-sequence /
- small function /
- strong Borel point