摘要
利用抽象Zeta函数ζG(z)的零点分布特点,建立了ζG(z)的对数导数与零点的关系,给出了ζG(z)的对数导数在η<Re z<δ内的估计。
In this paper ,the relations between logarithmic derivative and zero point are established by the distribution characteristics of the abstract Zeta functionζG ( z) .Additionally ,the estimation of ζG ( z) for η<Re z<δ is given .
基金
国家自然科学基金天元基金(11226036)
关键词
抽象解析数论
抽象Zeta函数
对数导数
abstract analytic number theory
abstract Zeta function
logarithmic derivative