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Results tagged with lattices
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user 50929
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])
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Accepted
Intersection of a $\mathbb{Q}$-affine space with $\mathbb{Z}^n$
If $E$ is given as $\{ v + Aw : w \in \mathbb Q^m \}$ where $v \in \mathbb Q^n$ and $A \in M_{n, m}(\mathbb Q)$, then if $B$ is a left-inverse for $A$ we have $E \cap \mathbb Z^n \neq \varnothing \iff …
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