The $1$-Level Density for Zeros of Hecke $L$-Functions of Imaginary Quadratic Number Fields of Class Number $1$

Kristian Holm

Let $\mathbb{K}=\mathbb{Q}(\sqrt{-d})$ be an imaginary quadratic number field of class number $1$ and ${\mathcal{O}}_{\mathbb{K}}$ its ring of integers. We study a family of Hecke…