Sums of Quaternion Squares and a Theorem of Watson

Sums of Quaternion Squares and a Theorem of Watson

We use a representability theorem of G. L. Watson to examine sums of squares in Quaternion rings with integer coefficients. This allows us to determine a large family of such rings where every element expressible as the sum of squares can be written as the sum of 3 squares.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2022-01
Hauptverfasser: Banks, Tim, Hamblen, Spencer, Sherwin, Tim, Wright, Sal
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
Quaternions
Sums
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We use a representability theorem of G. L. Watson to examine sums of squares in Quaternion rings with integer coefficients. This allows us to determine a large family of such rings where every element expressible as the sum of squares can be written as the sum of 3 squares.
ISSN:2331-8422
DOI:10.48550/arxiv.2011.02118