Abelian number fields with frobenian conditions
Abstract
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Mathematika
- Volume
- 72
- Issue
- 4
- Publication date
- 28 July 2026
- Language
- EN