Geodesic
The average number of vertexes of Klein polyhedrons for integer lattices
Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 1, pp. 48-55.

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Low estimate for the average number for vertices of Klein polyhedron of integer lattices with given determinant is derived. The low estimate coincides with the high estimate up to a constant. The constant depends on dimension of lattices. High-low estimates for the number of relative minima of integer lattices with given determinant is derived from this fact. 
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A. A. Illarionov; D. Slinkin. The average number of vertexes of Klein polyhedrons for integer lattices. Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 1, pp. 48-55. http://geodesic.mathdoc.fr/item/DVMG_2011_11_1_a4/

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