Average number of local minima for three-dimensional integral lattices (Q2892184)

In this paper the author introduces an asymptotic formula for the average number of Minkowski local minima of three-dimensional complete integral lattices with determinant in the interval \([1,N]\). This is a generalization of the two-dimensional case of the classical result about the average length of a finite continued fraction with denominator belonging to \([1,N]\).