论文标题
sextic hecke $ l $ functions $ \ mathbb {q}（ω）$的矩和一个级别密度
Moments and One level density of sextic Hecke $L$-functions of $\mathbb{Q}(ω)$
论文作者
论文摘要
在本文中，我们研究了$ \ mathbb {q}（ω）$ sextic hecke $ l $ functions的中心值的时刻，以及sextic hecke $ l $ l $ functions $ \ mathbb {q}（q}（ω）$的低ly- ly- ly-lying Zeros的一个级别密度结果。作为推论，我们推断出，假设GRH至少$ 2/45 $ sextic家族的成员不会以$ s = 1/2 $消失。
In this paper, we study moments of central values of sextic Hecke $L$-functions of $\mathbb{Q}(ω)$ and one level density result for the low-lying zeros of sextic Hecke $L$-functions of $\mathbb{Q}(ω)$. As a corollary, we deduce that, assuming GRH, at least $2/45$ of the members of the sextic family do not vanish at $s=1/2$.
