Towards Strong Reverse Minkowski-type Inequalities for Lattices
FOCS, pp. 447-456, 2016.
We present a natural reverse Minkowski-type inequality for lattices, which gives upper bounds on the number of lattice points in a Euclidean ball in terms of sublattice determinants, and conjecture its optimal form. The conjecture exhibits a surprising wealth of connections to various areas in mathematics and computer science, including a...More
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