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An optimization problem related to Minkowski's successive minima

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Publication:972598
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DOI10.1007/s00454-009-9155-5zbMath1198.52010OpenAlexW2110562012MaRDI QIDQ972598

Romanos-Diogenes Malikiosis

Publication date: 21 May 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-009-9155-5


zbMATH Keywords

volumelattice pointsconvex bodysuccessive minimaMinkowski theorem


Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities and extremum problems involving convexity in convex geometry (52A40)


Related Items (5)

Lattice-point enumerators of ellipsoids ⋮ Notes on lattice points of zonotopes and lattice-face polytopes ⋮ Discrete analogues of John's theorem ⋮ Variations of Minkowski's theorem on successive minima ⋮ Bounds on the lattice point enumerator via slices and projections



Cites Work

  • Successive-minima-type inequalities
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