On Voronoi's cylindric minima theorem
A. V. Ustinov
2011, issue 2, Ñ. 213–221
|Voronoi's algorithm for computing a system of fundamental units of a complex number field is based on a geometric properties of 3-dimensional lattices. This algorithm is based on Voronoi's theorem about cylindric minima for a lattice in general position. In the original proof and it's refinement published by Delone and Faddeev some significant cases were skipped. In the present we give a complete proof of Voronoi's theorem. The result is extended to arbitrary lattices.|
Keywords: lattice, Voronoi algorithm
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