Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms

Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms

We apply Tatuzawa's version of Siegel's theorem to derive two lower bounds on the size of the principal genus of positive definite binary quadratic forms.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Integers (Berlin, Germany) Germany), 2010-05, Vol.10 (2), p.257-264
Hauptverfasser: Hopkins, Kimberly, Stopple, Jeffrey
Format: Artikel
Sprache:eng
Schlagworte:
Binary quadratic forms
genus theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We apply Tatuzawa's version of Siegel's theorem to derive two lower bounds on the size of the principal genus of positive definite binary quadratic forms.
ISSN:1867-0652
DOI:10.1515/integ.2010.021