A Blichfeldt-type inequality for centrally symmetric convex bodies

DOI10.1007/s00605-012-0461-2zbMath1273.52013arXiv1203.4075OpenAlexW3104348623MaRDI QIDQ1955629

Matthias Schymura

Publication date: 17 June 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4075

zbMATH Keywords

latticelattice pointsBlichfeldt-type inequalitiescentral symmetryaffine hulllattice point enumeratorvolume inequalitiesDavenport inequality

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Interpolating between volume and lattice point enumerator with successive minima, Note on adelic triangulations and an adelic Blichfeldt-type inequality, Explicit majorizations of geometric and arithmetic Hilbert-Samuel functions

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