Hermite Constant and Extreme Forms for Algebraic Number Fields
نویسنده
چکیده
In this paper we consider a generalization to algebraic number fields of the classical Hermite constant γ n . For this constant we extend the well-known Minkowski bound and study the notion of extreme forms in this setting. Let us briefly recall the definition of Hermite’s constant. Let (a ij ) be a positive definite symmetric real n¬n matrix and let f(x " ,... ,x n ) ̄3 ij a ij x i x j be its associated quadratic form. Let us set
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تاریخ انتشار 1997