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...
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| Formaat: | Elektronisch Hoofdstuk |
| Taal: | Engels |
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KIT Scientific Publishing
2010
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| Online toegang: | DOAB: download the publication DOAB: description of the publication |
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| 001 | doab_20_500_12854_55204 | ||
| 005 | 20210211 | ||
| 003 | oapen | ||
| 006 | m o d | ||
| 007 | cr|mn|---annan | ||
| 008 | 20210211s2010 xx |||||o ||| 0|eng d | ||
| 020 | |a KSP/1000020381 | ||
| 020 | |a 9783866445840 | ||
| 040 | |a oapen |c oapen | ||
| 024 | 7 | |a 10.5445/KSP/1000020381 |c doi | |
| 041 | 0 | |a eng | |
| 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.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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 DOAB: download the publication |
| 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 |