Two-dimensional lattices with few distances

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dc.creatorMoree, Pieter
dc.creatorOsburn, Robert
dc.date2006-04-07
dc.date2006-10-20
dc.date.accessioned2026-07-07T08:57:34Z
dc.date.available2026-07-07T08:57:34Z
dc.descriptionWe 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.
dc.description21 pages, final version, accepted for publication in L'Enseignement Mathématique
dc.identifierhttps://arxiv.org/abs/math/0604163
dc.identifierhttp://arxiv.org/abs/math/0604163
dc.identifierEnseignement Math. 52 (2006), 361-380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147017
dc.subjectNumber Theory
dc.subject11N37, 11N69, 11R45
dc.titleTwo-dimensional lattices with few distances
dc.typetext

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