On Length Spectra of Lattices
The aim of this work is to study Schmutz Schaller's conjecture that in dimensions 2 to 8 the lattices with the best sphere packings have maximal lengths. This means that the distinct norms which occur in these lattices are greater than those of any other lattice in the same dimension with the s...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book Chapter |
| Published: |
KIT Scientific Publishing
2010
|
| Subjects: | |
| Online Access: | Get Fullteks DOAB: description of the publication |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| LEADER | 01408naaaa2200265uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_55204 | ||
| 005 | 20210211 | ||
| 020 | |a KSP/1000020381 | ||
| 020 | |a 9783866445840 | ||
| 024 | 7 | |a 10.5445/KSP/1000020381 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 100 | 1 | |a Willging, Thomas |4 auth | |
| 245 | 1 | 0 | |a On Length Spectra of Lattices |
| 260 | |b KIT Scientific Publishing |c 2010 | ||
| 300 | |a 1 electronic resource (55 p. p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a The aim of this work is to study Schmutz Schaller's conjecture that in dimensions 2 to 8 the lattices with the best sphere packings have maximal lengths. This means that the distinct norms which occur in these lattices are greater than those of any other lattice in the same dimension with the same covolume. Although the statement holds asymptotically we explicitly present a counter-example. However, it seems that there is nothing but this exception. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a Lattices | ||
| 653 | |a Geodesics | ||
| 653 | |a Quadratic Forms | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.ksp.kit.edu/9783866445840 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/55204 |7 0 |z DOAB: description of the publication |