Average number of local minima for three-dimensional integral lattices (Q2892184)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Average number of local minima for three-dimensional integral lattices |
scientific article; zbMATH DE number 6047302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Average number of local minima for three-dimensional integral lattices |
scientific article; zbMATH DE number 6047302 |
Statements
Average number of local minima for three-dimensional integral lattices (English)
0 references
18 June 2012
0 references
lattice
0 references
local minimum
0 references
multidimensional continued fraction
0 references
Euclid's algorithm
0 references
0 references
0.9122299
0 references
0.86094445
0 references
0.8598202
0 references
0.84800273
0 references
0.84495527
0 references
0.84050363
0 references
0.8329146
0 references
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 \([1,N]\).
0 references
