Abelian number fields with frobenian conditions
Number Theory
2024-07-22 v1
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.
Keywords
Cite
@article{arxiv.2407.14341,
title = {Abelian number fields with frobenian conditions},
author = {Julie Tavernier},
journal= {arXiv preprint arXiv:2407.14341},
year = {2024}
}
Comments
28 pages