1 citations · 1 across the 2 of their papers we have counts for
4 papers
Supertopes
Robert Erdahl, Konstantin Rybnikov
A perfect (Delaunay) ellipsoid is an ellipsoid in n-dimensional Euclidean space that does not contain integral points in its interior, but is uniquely defined by integral points th…
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…
An Infinite Series of Perfect Quadratic Forms and Big Delaunay Simplexes in Z^n
Robert Erdahl, Konstantin Rybnikov
George Voronoi (1908-09) introduced two important reduction methods for positive quadratic forms: the reduction with perfect forms, and the reduction with L-type domains. A form is…
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…