随机Richlet级数的增长性

The Growth of Random Dirichlet Series

中文关键词:  随机Dirichlet级数  无限级  级  下级  型函数.

英文关键词:random Dirichlet series  order  lower order  infinite order  type function.

中文摘要:

      本文构造了全平面上的无限级Dirirchlet级数,使得它对型函数的增长性与一个已知的不同分布随机Dirichlet的增长性相同,从而通过前者增长性与指数,系数的关系可研究后者的增长性.

英文摘要:

      For a known random Dirichlet series of infinite order on the whole plane, the authors construct a Dirirchlet series such that the growth of both series referring to the type function is the same. Thus one can study the growth of the former by studying the coefficient and exponent of the latter.