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Lattice inequalities for convex bodies and arbitrary lattices

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Abstract

Two isoperimetric inequalities with lattice constraints for arbitrary lattices are proved, where the last successive minimum of the lattice is used. The results generalize previous results by Hadwiger et al. for the special lattice ℤd to general lattices.

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Schnell, U. Lattice inequalities for convex bodies and arbitrary lattices. Monatshefte für Mathematik 116, 331–337 (1993). https://doi.org/10.1007/BF01301537

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