Article contents
On simplices and lattice points
Published online by Cambridge University Press: 09 April 2009
Abstract
Let S be a simplex in En which is homothetic to a given simplex S*, which contains no point of the integral lattice in its interior, and which has maximal volume V(S). We conjecture that V(S) > nn/n!, and establish the conjecture for n < 3.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1981
References
- 1
- Cited by