Abelian number fields with frobenian conditions

Julie Tavernier

Abelian number fields with frobenian conditions

Julie Tavernier

Department of Mathematical Sciences

Research output: Working paper / Preprint › Preprint

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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.

Original language	English
Publication status	Published - 19 Jul 2024

Bibliographical note

28 pages

Keywords

math.NT
11R37 (Primary) 11N37, 43A70 (Secondary)

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2407.14341v1

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Abelian number fields with frobenian conditions

Abstract

Bibliographical note

Keywords

Access to Document

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Cite this