论文标题
高斯领域中二次Hecke $ l $ functions的中心价值的第四刻
The fourth moment of central values of quadratic Hecke $L$-functions in the Gaussian field
论文作者
论文摘要
我们获得了一个在普遍的Riemann假设（GRH）下，在高斯领域的二次Hecke $ l $ functions的中心值的第四刻获得渐近公式。我们还在GRH下无条件地建立了下限，并在同一家庭的较高时刻建立了上限。
We obtain an asymptotic formula for the fourth moment of central values of a family of quadratic Hecke $L$-functions in the Gaussian field under the generalized Riemann hypothesis (GRH). We also establish lower bounds unconditionally and upper bounds under GRH for higher moments of the same family.
