Ehrhart-Macdonald reciprocity extended

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dc.creatorBeck, Matthias
dc.creatorEhrenborg, Richard
dc.date2005-04-11
dc.date.accessioned2026-07-07T05:19:01Z
dc.date.available2026-07-07T05:19:01Z
dc.descriptionFor a convex polytope P with rational vertices, we count the number of integer points in integral dilates of P and its interior. The Ehrhart-Macdonald reciprocity law gives an intimate relation between these two counting functions. A similar counting function and reciprocity law exists for the sum of all solid angles at integer points in dilates of P. We derive a unifying generalization of these reciprocity theorems which follows in a natural way from Brion's Theorem on conic decompositions of polytopes.
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0504230
dc.identifierhttp://arxiv.org/abs/math/0504230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74866
dc.subjectCombinatorics
dc.subject52C07; 05A15
dc.titleEhrhart-Macdonald reciprocity extended
dc.typetext

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