Dirichlet级数与随机Dirichlet级数在半平面内的增长性

详细信息

THE GROWTH OF DIRICHLET SERIES AND RANDOM DIRICHLET SERIES IN THE HALF PLANE

摘要: 采用Knopp-Kojima的方法,研究了Dirichlet级数与随机Dirichlet级数在右半平面内的增长性,得到了级由系数表示的充分必要条件.并且得到了随机Dirichlet级数在右半平面内的级与任意水平半带形内的级在一定条件下几乎必然相等的结论.
- Knopp-Kojima方法 /
- 随机Dirichlet级数 /
- 级 /
- 水平半带形
Abstract: By the method from Knopp-Kojima, the growths of Dirichlet series and random Dirichlet series in the right half plane are studied. The necessary and sufficient conditions of the orders, which are expressed by the coefficients, are obtained. It is shown that the growth of random Dirichlet series in the right half plane is almost the same as what in the horizontal half zone under some conditions.
- Knopp-Kojima method /
- random Dirichlet series /
- order /
- horizontal half zone