Prime-free discs in imaginary quadratic fields

Tanmay Khale

Suppose $K$ is an imaginary quadratic field, and let $N_K$ denote the field norm in the ring of integers $O_K$. Let $B(x_0,r)=\{x\in O_K:|N_K(x-x_0)|<r\}$. Let $G_K(X) = \max…