无限级Dirichlet级数的值分布

The value distribution of Dirichlet series of infinite order

研究了无限级Dirichlet级数的增长性质和值分布特征.在较宽的系数条件,即在和函数f(z)与Dirichlet级数的部分和之差的模满足一定限制条件下,给出了Dirichlet级数所定义的整函数的级的估计,并给出了无限级Dirichlet级数Borel方向存在的宽度的估计.

The value distribution of Dirichlet series of infinite order are studied.Some improvements on the growth and value distribution of Dirichlet series are obtained.For analytic functions represented by Dirichlet series of infinite order,under certain restrictive conditions,their orders and the width of strip regions in which Borel directions exist are estimated.