On the enumeration of lattices of determinant one

@article{Conway1982OnTE,
  title={On the enumeration of lattices of determinant one},
  author={John H. Conway and N. J. A. Sloane},
  journal={Journal of Number Theory},
  year={1982},
  volume={15},
  pages={83-94}
}
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Brings into focus interconnections between combinatorics on the one hand and geometry, group theory, number theory, special functions, lattice packings, logic, topological embeddings, games,…
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It is known that if A is a self-dual lattice in R", then min {u-u | u e A, u # 0} < (M/8) + 1. If equality holds the lattice is called extremal. In this paper we find all the extremal lattices: there…
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Gesammelte Abhandlungen
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THE first volume of Prof. Abbe's works has already been noticed in the pages of NATURE (vol. lxix., p. 497). The contents of the second volume, while extremely interesting, are more miscellaneous in…
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