摘要
文章研究了右半平面上无限级的Dirichlet级数,计算了它们的精确级,把Paley-Zygmund引理推广到非同分布的情况,证明非同分布的无限级随机Dirichlet级数几乎必然(a.s.
The paper studied the Dirichlet series of infinite or
der in the right half plane,counted their proximate order,extended PaleyZygmun
d lemma to the case of nonequally distributed and proved that every point of t
he imaginary axis is almost surely a Borel point with no finite exceptional valu
e for the random Dirichlet series of infinite order of nonequally distributed.
基金
国家自然科学基金
国家教育部博士点基金
关键词
随机级数
BOREL点
例外值
值分布
狄利克雷级数
random serie
Borel point
exceptional value
characte
ristic function
value distribution