The number of non-homogeneous lattice points in subsets of Rn
E. S. Barnes, Michael Mather · Mathematical Proceedings of the Cambridge Philosophical Society · 1977
Let Zn denote the integer lattice in Rn, let A be a non-singular n × n matrix and ʗ ∈ Rn. Then G = AZn + ʗ is called a grid (non-homogeneous lattice) and its determinant det G is defined to be |det A|.