Two-dimensional lattices with few distances
|Title:||Two-dimensional lattices with few distances||Authors:||Moree, Pieter
|Permanent link:||http://hdl.handle.net/10197/7958||Date:||Jun-2006||Abstract:||We prove that of all two-dimensional lattices of covolume 1 the hexagonal lattice has asymptotically the fewest distances. An analogous result for dimensions 3 to 8 was proved in 1991 by Conway and Sloane. Moreover, we give a survey of some related literature, in particular progress on a conjecture from 1995 due to Schmutz Schaller.||Type of material:||Journal Article||Publisher:||European Mathematical Society||Keywords:||Schmutz Schaller conjecture;Population fraction;Binary quadratic forms;Erdős number||DOI:||10.5169/seals-2239||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
Show full item record
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.