On length spectra of lattices
Item
Title (Dublin Core)
On length spectra of lattices
Creator (Dublin Core)
Willging, Thomas
Date (Dublin Core)
2010
Publisher (Dublin Core)
KIT Scientific Publishing
Description (Dublin Core)
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.
Subject (Dublin Core)
Mathematics
Language (Dublin Core)
English
isbn (Bibliographic Ontology)
9783866445840
