The average number of relative minima of three-dimensional integer lattices of a given determinant (Q2901879)
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: The average number of relative minima of three-dimensional integer lattices of a given determinant |
scientific article; zbMATH DE number 6062361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The average number of relative minima of three-dimensional integer lattices of a given determinant |
scientific article; zbMATH DE number 6062361 |
Statements
The average number of relative minima of three-dimensional integer lattices of a given determinant (English)
0 references
31 July 2012
0 references
relative minima
0 references
Minkowski multidimensional continued fraction
0 references
average length of continued fractions
0 references
The authors show an asymptotic formula for the average number of Minkowski relative minima of the three-dimensional complete integer lattices of a given determinant \(N\). This generalizes Heilbronn's classical result on the average length of a finite continued fraction with a fixed denominator.
0 references
