数学物理学报 ›› 2009, Vol. 29 ›› Issue (4): 1044-1050.

• 论文 • 上一篇    下一篇

全平面上的随机Dirichlet级数的值分布

  

  1. (1.北京师范大学 数学科学学院, 北京 100875, 2.华南师范大学 数学科学学院, 广州 510631)
  • 收稿日期:2007-12-15 修回日期:2008-12-24 出版日期:2009-08-25 发布日期:2009-08-25

On the Distribution of Random Dirichlet Series in the Whole Plane

  1. (1.School of Mathematical Sciences, Beijing, Normal University, Beijing 100875, 2.School of Mathematical Science, South China Normal University, Guangzhou 510631)
  • Received:2007-12-15 Revised:2008-12-24 Online:2009-08-25 Published:2009-08-25

摘要:

对于无限级随机Dirichlet级数几乎每一条水平线都是无限级无例外小函数的强Borel线.

关键词: 随机Dirichlet级数, 强Borel线, 小函数

Abstract:

For some random Dirichlet series of order(R) infinite almost surely every horizontal line is a strong Borel line of order(R) infinite and without exceptional little functions.

Key words: Random Dirichlet series, Strong Borel line, Little function

中图分类号: 

  • 30D35