右半平面上随机~Dirichlet 级数的值分布[J]. 华南师范大学学报(自然科学版), 2007, 1(2).
引用本文: 右半平面上随机~Dirichlet 级数的值分布[J]. 华南师范大学学报(自然科学版), 2007, 1(2).
The Distribution of Values of Random Dirichlet Series in the right half plane[J]. Journal of South China Normal University (Natural Science Edition), 2007, 1(2).
Citation: The Distribution of Values of Random Dirichlet Series in the right half plane[J]. Journal of South China Normal University (Natural Science Edition), 2007, 1(2).

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.

     

    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.

     

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