Application of an idea of Voronoĭ to lattice packing
DOI10.1007/s10231-012-0308-4zbMath1297.05047OpenAlexW2095364002MaRDI QIDQ741289
Publication date: 11 September 2014
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-012-0308-4
perfect latticeeutactic latticelattice packing of convex bodiesmaximum densitylattice packing of ballsmaximum latticeVoronoĭ-type result
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lattice packing and covering of convex bodies
- Application of an idea of Voronoĭ to lattice zeta functions
- Some new results on smoothness and rotundity in normed linear spaces
- Computational approaches to lattice packing and covering problems
- Minimal ellipsoids and their duals
- Sur un problème de dualité lié aux sphères en géométrie des nombres. (On a duality problem related to spheres in geometry of numbers)
- Die meisten konvexen Körper sind glatt, aber nicht zu glatt
- Riemann surfaces with shortest geodesic of maximal length
- Systoles on Riemann surfaces
- Sphere packings. (Edited by John Talbot)
- Densest lattice packings of 3-polytopes.
- Application of an idea of Voronoĭ to John type problems
- An arithmetic proof of John's ellipsoid theorem
- Minima of Epstein's zeta function and heights of flat tori
- Voronoĭ type criteria for lattice coverings with balls
- Uniqueness of lattice packings and coverings of extreme density
- Spherical designs and zeta functions of lattices
- Geometry of the cone of positive quadratic forms
- On the Existence of Eutactic Forms
- Geometry of Riemann surfaces based on closed geodesics
- Perfect Non-Extremal Riemann Surfaces
- Classification of quintic eutactic forms
- Sur La Classification Des Réseaux Eutactiques
- Convex and Discrete Geometry
- Extreme coverings ofn-space by spheres
- Systole et invariant d'Hermite.
- Théorie de Voronoï géométrique. Propriétés de finitude pour les familles de réseaux et analogues
- Two Remarks On Extreme Forms
This page was built for publication: Application of an idea of Voronoĭ to lattice packing
