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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| Year of Publication: | 2010 |
| Language: | English |
| Physical Description: | 1 electronic resource (55 p. p.) |
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| 041 | 0 | |a eng | |
| 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 | ||
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| 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. | ||
| 546 | |a English | ||
| 653 | |a Lattices | ||
| 653 | |a Geodesics | ||
| 653 | |a Quadratic Forms | ||
| 776 | |z 3-86644-584-9 | ||
| 906 | |a BOOK | ||
| ADM | |b 2023-12-15 05:54:44 Europe/Vienna |f system |c marc21 |a 2019-11-10 04:18:40 Europe/Vienna |g false | ||
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