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Results tagged with lattices
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user 38468
Lattices in the sense of discrete subgroups of Euclidean spaces, as used in number theory, discrete geometry, Lie groups, etc. (Not to be confused with lattice theory or lattices as used in physics! For lattices (ordered sets), use the tag: [lattice-theory])
0
votes
sublattice generated by lattice points intersecting a convex set
I assume that you mean $S$ is symmetric with respect to the origin. Otherwise, a segment $[(0,1),(2,0)]$ in ${\mathbb R}^2$ with standard ${\mathbb Z}^2$ lattice gives a counterexample.
One does not …
- 5,186
3
votes
When are Ehrhart functions of compact convex sets polynomials?
I believe that the strong form of the conjecture is false. In lieu of a simple counterexample, let me point you towards a centrally symmetric 10-gon $\hat P$ in arXiv:0801.2812, Figure 6. It is a bit …
- 5,186