Extreme coverings ofn-space by spheres
- 1 February 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 7 (1) , 115-127
- https://doi.org/10.1017/s1446788700005140
Abstract
It is well known that the problem of determining the most economical covering ofn-dimensional Eucidean space, by equal spheres whose centres form a lattice, may be formulated in terms of positive definite quadratic forms, as follows: Let be positive definite, and For real α, set (the minimum being taken over integralx),Keywords
This publication has 2 references indexed in Scilit:
- Nouvelles applications des paramètres continus à théorie des formes quadratiques. Deuxième Mémoire. Recherches sur les paralléloèdres primitifs.Journal für die reine und angewandte Mathematik (Crelles Journal), 1909
- Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire. Recherches sur les parallélloèdres primitifs.Journal für die reine und angewandte Mathematik (Crelles Journal), 1908