Imaginary multiquadratic number fields with class group of exponent 3 and 5

In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under extended Riemann hypothesis for every positive integer n where an n-quadratic field is a number field of degree 2^n represented as the composite of n-quadratic fields.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematics of computation 2021-05, Vol.90 (329), p.1483-1497
Hauptverfasser: Jürgen Klüners, Toru Komatsu
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under extended Riemann hypothesis for every positive integer n where an n-quadratic field is a number field of degree 2^n represented as the composite of n-quadratic fields.
ISSN:0025-5718
1088-6842
DOI:10.1090/mcom/3609