Voronoi-Dickson Hypothesis on Perfect Forms and L-types

@inproceedings{Erdahl2001VoronoiDicksonHO,
  title={Voronoi-Dickson Hypothesis on Perfect Forms and L-types},
  author={Robert M. Erdahl and Konstantin A. Rybnikov},
  year={2001}
}
George Voronoi (1908, 1909) introduced two important reduction methods for positive quadratic forms: the reduction with perfect forms, and the reduction withLtype domains, often called domains of Delaunay type. The rst method is important in studies of dense lattice packings of spheres. The second method provides the key tools for nding the least dense lattice coverings with equal spheres in lower dimensions. In his investigations Voronoi heavily relied on that in dimensions less than 6 the… CONTINUE READING

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