Advertisement

The theorem of MINKOWSKI-HLAWKA

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

Abstract

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.

Keywords

Finite Type Prime Index Infinite Volume Theorem VIII Infinite Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations