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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| Format: | Book Chapter |
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KIT Scientific Publishing
2010
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| Online Access: | Get Fullteks DOAB: description of the publication |
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| Summary: | 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. |
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| Physical Description: | 1 electronic resource (55 p. p.) |
| ISBN: | KSP/1000020381 9783866445840 |
| Access: | Open Access |