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math.NT2004★ 1 cited
Perfect Delaunay Polytopes and Perfect Inhomogeneous Forms
Robert Erdahl, Andrei Ordine, Konstantin Rybnikov
A lattice Delaunay polytope D is called perfect if it has the property that there is a unique circumscribing ellipsoid with interior free of lattice points, and with the surface co…
math.NT2001
Voronoi-Dickson Hypothesis on Perfect Forms and L-types
Robert Erdahl, Konstantin Rybnikov
George Voronoi (1908, 1909) introduced two important reduction methods for positive quadratic forms: the reduction with perfect forms, and the reduction with L-type domains, often…