Successive-Minima-Type Inequalities

@article{Betke1993SuccessiveMinimaTypeI,
  title={Successive-Minima-Type Inequalities},
  author={Ulrich Betke and Martin Henk and J{\"o}rg M. Wills},
  journal={Discrete & Computational Geometry},
  year={1993},
  volume={9},
  pages={165-175}
}
We show analogues of Minkowski’s theorem on successive minima, where the volume is replaced by the lattice point enumerator. We further give analogous results to some recent theorems by Kannan and Lovász on covering minima. 

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