New posts in Integer Lattices

Combinatorics on divisors

Indecomposable elements in a lattice

Probability that a random pair of points are opposite corners of a square in an $n\times n$ integer lattice

Optimal rounding a sequence of reals to integers

Lattice generated by vectors orthogonal to an integer vector

Generalizing the 290 theorem.

What happens when the basis vectors of an integer lattice are not linearly independent?

Every integer vector in $\mathbb R^n$ with integer length is part of an orthogonal basis of $\mathbb R^n$

Elementary proof that if $A$ is a matrix map from $\mathbb{Z}^m$ to $\mathbb Z^n$, then the map is surjective iff the gcd of maximal minors is $1$