Geodesic
On the statistical properties of Klein polyhedra in three-dimensional lattices
Sbornik. Mathematics, Tome 204 (2013) no. 6, pp. 801-823

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain asymptotic formulae for the average values of the number of faces of a fixed type and of vertices of Klein polyhedra of three-dimensional integer lattices with a given determinant. Bibliography: 20 titles.
Keywords: lattice, Klein polyhedron, multi-dimensional continued fraction, relative minimum. 
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A. A. Illarionov. On the statistical properties of Klein polyhedra in three-dimensional lattices. Sbornik. Mathematics, Tome 204 (2013) no. 6, pp. 801-823. http://geodesic.mathdoc.fr/item/SM_2013_204_6_a1/