The distribution of sublattices of \(\mathbb{Z}^m\)

DOI10.1007/BF01489457zbMath0913.11028MaRDI QIDQ1376019

No author found.

Publication date: 20 May 1999

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178800

zbMATH Keywords

similarity classeslatticesgeometry of numbersdistribution of sublattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Geometry of numbers (11H99)

Related Items (16)

On similarity classes of well-rounded sublattices of \(\mathbb Z^2\) ⋮ Planes in four-space and four associated CM points ⋮ Integer matrices, sublattices of \(\mathbb Z^m\), and Frobenius numbers ⋮ Linnik's problem in fiber bundles over quadratic homogeneous varieties ⋮ Counting rational points of a Grassmannian ⋮ Effective equidistribution of lattice points in positive characteristic ⋮ Equidistribution and freeness on Grassmannians ⋮ Equidistribution of primitive rational points on expanding horospheres ⋮ Distribution of shapes of orthogonal lattices ⋮ The Mathematical Work of Wolfgang Schmidt ⋮ CLASSIFICATION OF THE SUBLATTICES OF A LATTICE ⋮ The asymptotic distribution of Frobenius numbers ⋮ Integer points on spheres and their orthogonal grids ⋮ Proximity bounds for random integer programs ⋮ Integer points on spheres and their orthogonal lattices ⋮ Proximity bounds for random integer programs

Cites Work

• Über die Verteilung der Klassen eigentlich assoziierter zweireihiger Matrizen, die sich durch eine positiv-definite Matrix darstellen lassen
• Über die Verteilung der zweidimensionalen Untergitter in einem euklidischen Gitter. (On the distribution of the two-dimensional sublattices in an Euclidean Lattice)
• Fundamental domains for the general linear group
• Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
• An Introduction to the Geometry of Numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The distribution of sublattices of \(\mathbb{Z}^m\)