A Blichfeldt-type inequality for the surface area

DOI10.1007/s00605-008-0530-8zbMath1163.52002arXiv0705.2088OpenAlexW2055225300MaRDI QIDQ1018010

Jörg M. Wills, Martin Henk

Publication date: 13 May 2009

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

Full work available at URL: https://arxiv.org/abs/0705.2088

zbMATH Keywords

lattice polytopes, volume, surface area

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Bounds on generalized Frobenius numbers ⋮ On the number of integer points in a multidimensional domain ⋮ Lower bounds on the coefficients of Ehrhart polynomials ⋮ On the monotonicity of the isoperimetric quotient for parallel bodies ⋮ Blichfeldt-type inequalities and central symmetry ⋮ Lipschitz class, narrow class, and counting lattice points

Cites Work

• Zur Gitterpunktanzahl auf dem Rand konvexer Körper
• Two isoperimetric inequalities with lattice constraints
• Gitterpunktsanzahl und Parallelkörpervolumen von Eikörpern
• Intrinsic volumes and lattice points of crosspolytopes
• New bounds in some transference theorems in the geometry of numbers
• An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
• Neuere Studien über Gitterpolygone.

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