• J. W. S. Cassels
Part of the Classics in Mathematics book series (volume 99)


Hitherto we have been primarily concerned to estimate the lattice constant Δ (L) of a set L from below, that is to find numbers Δ 0 such that every lattice Λ with d (Λ) < Δ 0 certainly has points other than o inL In this chapter we are concerned with estimates for Δ(L) from above; that is we wish to find numbers Δ1 such that there are certainly lattices Λ with d(Λ) = Δ1 which have no points other than the origin in L, i.e. are L -admissible.


Finite Type Prime Index Infinite Volume Theorem VIII Infinite Type 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • J. W. S. Cassels
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeUK

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