EVEN 2-UNIVERSAL QUADRATIC FORMS OF RANK 5

EVEN 2-UNIVERSAL QUADRATIC FORMS OF RANK 5

A (positive denite integral) quadratic form is called even 2- universal if it represents all even quadratic forms of rank 2. In this article, we prove that there are at most 55 even 2-universal even quadratic forms of rank 5. The proofs of even 2-universalities of some candidates will be given so th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of the Korean Mathematical Society 2021, 58(4), , pp.849-871
Hauptverfasser: 지윤성, 김명재, 오병권
Format: Artikel
Sprache:eng
Schlagworte:
수학
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A (positive denite integral) quadratic form is called even 2- universal if it represents all even quadratic forms of rank 2. In this article, we prove that there are at most 55 even 2-universal even quadratic forms of rank 5. The proofs of even 2-universalities of some candidates will be given so that exactly 20 candidates remain unproven. KCI Citation Count: 0
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j200290