Least determinants of integral quadratic forms (Q2650972)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Least determinants of integral quadratic forms |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Least determinants of integral quadratic forms |
scientific article |
Statements
Least determinants of integral quadratic forms (English)
0 references
1953
0 references
Ganzzahlige quadratische Formen, deren Determinante bei festgehaltener Variablenzahl und Signatur den absolut kleinstmoglichen Wert annimmt, haben die Gestalt \[ f(x_1,\ldots,x_i)+x_{i+1}x_{i+2}+\ldots, \] und \(f\) ist eine definite Form von gleicher Minimaleigenschaft. Explizite Beweise fur letztere bei \textit{R. E. O'Connor} und \textit{G. Pall} [Duke Math. J. 11, 319--331 (1944; Zbl 0060.11103)].
0 references
least determinants
0 references
integral quadratic forms
0 references
