On Voronoi reduction of positive definite quadratic forms
1972; Elsevier BV; Volume: 4; Issue: 4 Linguagem: Inglês
10.1016/0022-314x(72)90068-6
ISSN1096-1658
Autores Tópico(s)Mathematics and Applications
ResumoThere are two methods of reduction of positive definite quadratic forms due to Voronoi. One of these methods is based on the perfect forms and the other on the type of Voronoi polyhedra associated with the form. It was conjectured by Voronoi that these two methods are strongly connected. It is shown in this paper that the two reductions coincide only in the case of the set of forms referred to by Voronoi as the principal cone.
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