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HERMITE CONSTANT AND EXTREME FORMS FOR ALGEBRAIC NUMBER FIELDS

Published online by Cambridge University Press:  01 February 1997

M. I. ICAZA
M. I. ICAZA
Affiliation:
Department of Mathematics, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile. E-mail: icazap@abello.dic.uchile.cl
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Abstract

In this paper we consider a generalization to algebraic number fields of the classical Hermite constant γn. For this constant we extend the well-known Minkowski bound and study the notion of extreme forms in this setting.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 11 - 22
Copyright
The London Mathematical Society 1997

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