Non-convex regions in three and more dimensions
Published online by Cambridge University Press: 24 October 2008
Extract
Blichfeldt (2) gave a method of proving the existence of lattice points in certain regions. His method depends on the following lemma (which he stated in a somewhat different form):
Lemma 1. Let K′ be a closed region of volume V. Let K be another region so related to K′ that the difference of any two points in K′ is a point in K. Let Λ be any lattice whose determinant is positive and does not exceed V.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 2 , April 1949 , pp. 161 - 166
- Copyright
- Copyright © Cambridge Philosophical Society 1949
References
REFERENCES
- 2
- Cited by