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On Length Spectra of Lattices

dc.contributor.authorWillging, Thomas*
dc.date.accessioned2021-02-11T21:37:24Z
dc.date.available2021-02-11T21:37:24Z
dc.date.issued2010*
dc.date.submitted2019-07-30 20:01:58*
dc.identifier34480*
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/55204
dc.description.abstractThe 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.*
dc.languageEnglish*
dc.subjectQA1-939*
dc.subject.classificationbic Book Industry Communication::P Mathematics & scienceen_US
dc.subject.otherLattices*
dc.subject.otherGeodesics*
dc.subject.otherQuadratic Forms*
dc.titleOn Length Spectra of Lattices*
dc.typebook
oapen.identifier.doi10.5445/KSP/1000020381*
oapen.relation.isPublishedBy68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2*
oapen.relation.isbn9783866445840*
oapen.pages55 p.*
peerreview.review.typeFull text
peerreview.anonymityAll identities known
peerreview.reviewer.typeInternal editor
peerreview.reviewer.typeExternal peer reviewer
peerreview.review.stagePre-publication
peerreview.open.reviewNo
peerreview.publish.responsibilityScientific or Editorial Board
peerreview.id8ad5c235-9810-49eb-b358-27c8675324d9
peerreview.titleDissertations (Dissertationen)


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