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 same c...
Spremljeno u:
| Glavni autor: | |
|---|---|
| Format: | Online |
| Jezik: | engleski |
| Izdano: |
KIT Scientific Publishing
2021
|
| Teme: | |
| Online pristup: | 34480 |
| Oznake: |
Bez oznaka, Budi prvi tko označuje ovaj zapis!
|
| _version_ | 1869523558298812416 |
|---|---|
| author | Willging, Thomas |
| author_browse | Willging, Thomas |
| author_facet | Willging, Thomas |
| author_sort | Willging, Thomas |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-55204 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-552042023-12-20T18:40:35Z On Length Spectra of Lattices Willging, Thomas QA1-939 Lattices Geodesics Quadratic Forms bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T21:37:24Z 2021-02-11T21:37:24Z 2019-07-30 20:01:58 2010 book 34480 9783866445840 https://directory.doabooks.org/handle/20.500.12854/55204 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866445840 KIT Scientific Publishing 10.5445/KSP/1000020381 10.5445/KSP/1000020381 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866445840 55 p. open access |
| spellingShingle | QA1-939 Lattices Geodesics Quadratic Forms bic Book Industry Communication::P Mathematics & science Willging, Thomas On Length Spectra of Lattices |
| title | On Length Spectra of Lattices |
| title_full | On Length Spectra of Lattices |
| title_fullStr | On Length Spectra of Lattices |
| title_full_unstemmed | On Length Spectra of Lattices |
| title_short | On Length Spectra of Lattices |
| title_sort | on length spectra of lattices |
| topic | QA1-939 Lattices Geodesics Quadratic Forms bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Lattices Geodesics Quadratic Forms bic Book Industry Communication::P Mathematics & science |
| url | 34480 |
| work_keys_str_mv | AT willgingthomas onlengthspectraoflattices |