二重B-值随机Dirichlet级数收敛性

On the Convergence of the Double B-valued Random Dirichlet Series

运用二重B-值随机变量列{X_(mn)}在某阶矩一致有界条件下的性质和引理2.1的不等式,结合二重Dirichlet级数的成果,证明了在一定条件下,二重B-值随机Dirichlet级数a.s.几乎必然与二重Dirichlet级数有相同的成对的相关收敛横坐标.

Studied the properties of a double sequence of B-valued random variable with some uniform bounded moments and the inequality in lemma 1.By these properties and some results on double Dirichlet series the following results are obtained.Under suitable conditions,the double B-valued random Dirichlet series has a.s.the same associated abscissas of convergence as the double Dirichlet series.