On the distribution of values of the derivative of the Riemann zeta function at its zeros. I

被引：0

作者：

Akio Fujii

机构：

[1] Rikkyo University,Retired from Department of Mathematics

来源：

Proceedings of the Steklov Institute of Mathematics | 2012年 / 276卷

关键词：

STEKLOV Institute; Zeta Function; Riemann Zeta Function; Riemann Hypothesis; Dirichlet Character;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let ζ′(s) be the derivative of the Riemann zeta function ζ(s). A study on the value distribution of ζ′(s) at the non-trivial zeros ρ of ζ(s) is presented. In particular, for a fixed positive number X, an asymptotic formula and a non-trivial upper bound for the sum Σ0<Im ρ≤Tζ′(ρ)Xρ as T → ∞ are given. We clarify the dependence on the arithmetic nature of X.

引用

页码：51 / 76

页数：25

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