论文标题
加权的一级密度，低较低的dirichlet $ l $ functions
Weighted one-level density of low-lying zeros of Dirichlet $L$-functions
论文作者
论文摘要
在本文中，我们计算了一个由固定的$ l $ functions加权的家庭中的dirichlet $ l $ functions的低洼零的单层密度。我们验证了Fazzari的猜想和第一作者对$ L $ functions家族的加权单层密度的猜想。
In this paper, we compute the one-level density of low-lying zeros of Dirichlet $L$-functions in a family weighted by special values of Dirichlet $L$-functions at a fixed $s \in [1/2, 1)$. We verify both Fazzari's conjecture and the first author's conjecture on the weighted one-level density for our family of $L$-functions.
