Work

Abelian number fields with frobenian conditions

Year: 2026

Type: article

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.

Source: Mathematika

DOI: 10.1112/mtk.70119

Author: Julie Tavernier

Institution: University of Bath

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Engineering and Physical Sciences Research Council