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The number of non-homogeneous lattice points in subsets of Rn

Published online by Cambridge University Press:  24 October 2008

E. S. Barnes  and
Michael Mather
E. S. Barnes
Affiliation:
University of Adelaide and 16 Parkview Ave, Toronto M4X 1V9
Michael Mather
Affiliation:
University of Adelaide and 16 Parkview Ave, Toronto M4X 1V9
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Extract

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|.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 2 , September 1977 , pp. 265 - 268
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

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