On humbert-minkowski's constant for a number field

Author	dc.contributor.author	Baeza,
Author	dc.contributor.author	Icaza,
Admission date	dc.date.accessioned	2018-12-20T14:39:26Z
Available date	dc.date.available	2018-12-20T14:39:26Z
Publication date	dc.date.issued	1997
Cita de ítem	dc.identifier.citation	Proceedings of the American Mathematical Society, Volumen 125, Issue 11, 2018, Pages 3195-3202
Identifier	dc.identifier.issn	00029939
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/156915
Abstract	dc.description.abstract	We use Humbert's reduction theory to introduce an obstruction for the unimodularity of minimal vectors of positive definite quadratic forms over totally real number fields. Using this obstruction we obtain an inequality relating the values of a generalized Hermite constant for such fields, which over the field of rational numbers leads to a well-known result of Mordell. ©1997 American Mathematical Society.
Lenguage	dc.language.iso	en
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
Source	dc.source	Proceedings of the American Mathematical Society
Keywords	dc.subject	Hermite constant
Keywords	dc.subject	Quadratic forms
Keywords	dc.subject	Reduction theory
Título	dc.title	On humbert-minkowski's constant for a number field
Document type	dc.type	Artículo de revista
Cataloguer	uchile.catalogador	SCOPUS
Indexation	uchile.index	Artículo de publicación SCOPUS
uchile.cosecha	uchile.cosecha	SI

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile