Dirichlet’s Lemma in number fields
Dirichlet’s Lemma states that every primitive quadratic Dirichlet character χ can be written in the form χ(n)=(Δn) for a suitable quadratic discriminant Δ. In this article we define a group, the separant class group SCl(F), that measures the extent to which Dirichlet’s Lemma fails in general number fields F.
Authors
- Franz Lemmermeyer (ORCID: https://orcid.org/0000-0002-0841-2013)
Publication Details
- Journal
- Acta Arithmetica
- Published
- 2026-10-28
- DOI
- https://doi.org/10.4064/aa250126-19-8
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00