Abstract
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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References
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Betke, U., Henk, M. & Wills, J.M. Successive-minima-type inequalities. Discrete Comput Geom 9, 165–175 (1993). https://doi.org/10.1007/BF02189316
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DOI: https://doi.org/10.1007/BF02189316