Successive Minima and Lattice Points
| dc.creator | Henk, Martin | |
| dc.date | 2002-04-12 | |
| dc.date.accessioned | 2026-07-07T04:47:39Z | |
| dc.date.available | 2026-07-07T04:47:39Z | |
| dc.description | The main purpose of this note is to prove an upper bound on the number of lattice points of a centrally symmetric convex body in terms of the successive minima of the body. This bound improves on former bounds and narrows the gap towards a lattice point analogue of Minkowski's second theorem on successive minima. Minkowski's proof of his second theorem is rather lengthy and it was also criticised as obscure. We present a short proof of Minkowski's second theorem on successive minima, which, however, is based on the ideas of Minkowski's proof. | |
| dc.identifier | https://arxiv.org/abs/math/0204158 | |
| dc.identifier | http://arxiv.org/abs/math/0204158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63798 | |
| dc.subject | Metric Geometry | |
| dc.subject | 52C07;11H06; 11P21 | |
| dc.title | Successive Minima and Lattice Points | |
| dc.type | text |