Abelian number fields with frobenian conditions

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.

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Publication Details

Journal
Mathematika
Published
2026-07-28
DOI
https://doi.org/10.1112/mtk.70119
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Abelian number fields with frobenian conditions

Julie Tavernier
Mathematika
Algebraic Geometry and Number Theory
article

Abelian number fields with frobenian conditions

Julie Tavernier
article en

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.

MathematikaVol. 72(4)
University of Bath (GB)
Engineering and Physical Sciences Research Council
Openalex Percentile: Top 95%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Abelian number fields with frobenian conditions — Julie Tavernier · Mathematika (2026) | TGRS Research Map | TGRS