A new inequality for the Hermite constants
| dc.creator | Bacher, Roland | |
| dc.date | 2006-03-20 | |
| dc.date | 2007-01-23 | |
| dc.date.accessioned | 2026-07-07T09:51:35Z | |
| dc.date.available | 2026-07-07T09:51:35Z | |
| dc.description | We prove an inequality of the form $γ_n\geq C_n(γ_{n-1})$ giving a lower bound for the Hermite constant $γ_n$ in dimension $n$ in terms of $γ_{n-1}$. Iterating this inequality yields a new proof of the Minkowski-Hlawka bound. | |
| dc.description | 24 pages, to appear in Internation Journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0603477 | |
| dc.identifier | http://arxiv.org/abs/math/0603477 | |
| dc.identifier | International Journal of Number Theory 4, 3 (2008) 363-386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165299 | |
| dc.subject | Number Theory | |
| dc.subject | 10E05, 10E20 | |
| dc.title | A new inequality for the Hermite constants | |
| dc.type | text |