论文标题
Riemann Zeta功能的第八刻
The eighth moment of the Riemann zeta function
论文作者
论文摘要
在本文中，假设Riemann假设和第四纪添加剂猜想，我们为Riemann Zeta函数的第八刻建立了一个渐近公式。这是基于第一作者在Riemann Zeta功能和Conrey-Gonek andIvić的工作的第六时刻的基础。一个钥匙输入是假设Riemann假设的Riemann Zeta函数的一定移动力矩的急剧结合。
In this article, we establish an asymptotic formula for the eighth moment of the Riemann zeta function, assuming the Riemann hypothesis and a quaternary additive divisor conjecture. This builds on the work of the first author on the sixth moment of the Riemann zeta function and work of Conrey-Gonek and Ivić. A key input is a sharp bound for a certain shifted moment of the Riemann zeta function, assuming the Riemann hypothesis.
