论文标题
对Riemann Zeta功能的零上的总和的准确估计
Accurate estimation of sums over zeros of the Riemann zeta-function
论文作者
论文摘要
我们考虑$ \ sum ϕ（γ）$的总和，其中$ ϕ $是给定函数的，而$γ$范围范围比给定的间隔在Riemann Zeta-unction的非平凡零的列表上。我们展示了如何通过简单的设备加速此类总和的数值估计，并提供涉及收敛和发散无限总和的示例。
We consider sums of the form $\sum ϕ(γ)$, where $ϕ$ is a given function, and $γ$ ranges over the ordinates of nontrivial zeros of the Riemann zeta-function in a given interval. We show how the numerical estimation of such sums can be accelerated by a simple device, and give examples involving both convergent and divergent infinite sums.
