Author:
Barnes E. S.,Dickson T. J.
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: Letbe positive definite, andFor real α, set(the minimum being taken over integralx),
Publisher
Cambridge University Press (CUP)
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Application of an idea of Voronoĭ to lattice packing;Annali di Matematica Pura ed Applicata (1923 -);2012-12-19
2. Application of an idea of Voronoĭ to lattice zeta functions;Proceedings of the Steklov Institute of Mathematics;2012-04
3. Lattice packing and covering of convex bodies;Proceedings of the Steklov Institute of Mathematics;2011-12
4. Bibliography;North-Holland Mathematical Library;1987
5. Geometry of numbers;Contributions to Geometry;1979