复指数Dirichlet级数表示的解析函数

Analytic Function Represented by Dirichlet Series of Complex Exponents

本文对一个在角形区域由复指数Dirichlet级数表示且在一固定水平带形有界解析不恒为零的函数的存在性,给出了充分必要条件.

A necessary and sufficient condition is given for the existence of an analytic function which is analytic in an angular region, not identically zero, bounded in a horizontal strip and represented by Dirichlet series of complex exponents.