KIT Scientific Publishing

Im Shop suchen

29,00 €

inkl. 7 % USt. exkl. Versandkosten

Thomas Willging

On Length Spectra of Lattices

AutorWillging, Thomas

VerlagKIT Scientific Publishing, Karlsruhe

ISBN9783866445840

Umfang55 S.

Veröffentlicht
am:
17.12.2010

Erscheinungs-
jahr
2010

VerfügbarkeitAktiv

Downloads:

Für Zitate bitte die folgende URL verwenden:
http://dx.doi.org/10.5445/KSP/1000020381

Abstract

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.