论文标题
Von Mangoldt功能的指数曲线平均值
Averages of exponential twists of the von Mangoldt function
论文作者
论文摘要
在本文中，我们为指数和$ \ sum_ {x <n \ leq 2x}λ（n）e（αkn^θ）$带有$θ\ in（0,5/12），$λ（n）$是von mangoldt函数的一些改进的结果。这样的指数总和与所谓的准里曼假设有关系，并由Vinogradov \ cite {va}和murty-srinivas \ cite \ cite {mu}考虑。
In this paper, we obtain some improved results for the exponential sum $\sum_{x<n\leq 2x}Λ(n)e(αk n^θ)$ with $θ\in(0,5/12),$ where $Λ(n)$ is the von Mangoldt function. Such exponential sums have relations with the so-called quasi-Riemann hypothesis and were considered by Vinogradov \cite{Va} and Murty-Srinivas \cite{Mu}.
