Abelian number fields with frobenian conditions
arXiv:2407.14341
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 k whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
28 pages