Lattice inequalities for convex bodies and arbitrary lattices

DOI10.1007/BF01301537zbMath0792.52008OpenAlexW2095495392MaRDI QIDQ1314869

Uwe Schnell

Publication date: 1 March 1994

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

Full work available at URL: https://eudml.org/doc/178632

zbMATH Keywords

volumeconvex bodysurface arealattice point enumerator

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items

Successive minima, intrinsic volumes, and lattice determinants

Cites Work

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• Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
• Bounds for the lattice point enumerator
• Two isoperimetric inequalities with lattice constraints
• An inequality relating volume, area and number of lattice points of convex sets in \(n\)-dimensional Euclidean space
• Gitterperiodische Punktmengen und Isoperimetrie
• On successive minima and intrinsic volumes