An application of counting ideals in ray classes
Acta Arithmetica
MSC: Primary 11R44; Secondary 11N35, 11N36, 11N32
DOI: 10.4064/aa230406-10-6
Published online: 27 September 2024
Abstract
We prove a fully explicit generalized Brun–Titchmarsh theorem for an imaginary quadratic field $\mathbf K$. More precisely, for any finite family of linearly independent linear forms with coefficients in $\mathcal O_{\mathbf K}$, we count the number of integers at which all these linear forms take prime values in $\mathcal O_{\mathbf K}$.
