TY - BOOK AU - Willging, Thomas AB - 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. DO - 10.5445/KSP/1000020381 ID - OAPEN ID: 34480 KW - Lattices KW - Geodesics KW - Quadratic Forms L1 - https://www.ksp.kit.edu/9783866445840 LA - English LK - https://directory.doabooks.org/handle/20.500.12854/55204 PB - KIT Scientific Publishing PY - 2010 SN - 9783866445840 TI - On Length Spectra of Latticesnull ER -