Construction of spherical cubature formulas using lattices

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dc.creatorDe La Harpe, Pierre
dc.creatorPache, Claude
dc.creatorVenkov, Boris B.
dc.date2005-05-24
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:40:02Z
dc.date.available2026-07-07T06:40:02Z
dc.descriptionWe construct cubature formulas on spheres supported by homothetic images of shells in some Euclidian lattices. Our analysis of these cubature formulas uses results from the theory of modular forms. Examples are worked out on the sphere of dimension n-1 for n=4, 8, 12, 14, 16, 20, 23, and 24, and the sizes of the cubature formulas we obtain are compared with the lower bounds given by Linear Programming.
dc.identifierhttps://arxiv.org/abs/math/0505510
dc.identifierhttp://arxiv.org/abs/math/0505510
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101296
dc.subjectCombinatorics
dc.titleConstruction of spherical cubature formulas using lattices
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