On the Schertz conjecture

On the Schertz conjecture

Schertz conjectured that every finite abelian extension of imaginary quadratic fields can be generated by the norm of the Siegel-Ramachandra invariants. We shall present a conditional proof of his conjecture by means of the characters on class groups and the second Kronecker limit formula.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2017-09
Hauptverfasser: Koo, Ja Kyung, Dong Sung Yoon
Format: Artikel
Sprache:eng
Schlagworte:
Fields (mathematics)
Mathematics - Number Theory
Number theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Schertz conjectured that every finite abelian extension of imaginary quadratic fields can be generated by the norm of the Siegel-Ramachandra invariants. We shall present a conditional proof of his conjecture by means of the characters on class groups and the second Kronecker limit formula.
ISSN:2331-8422
DOI:10.48550/arxiv.1610.01311