An Introduction to the Geometry of Numbers pp 175-193 | Cite as

# The theorem of MINKOWSKI-HLAWKA

Chapter

## 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** in*L* In this chapter we are concerned with estimates for *Δ(L)* from above; that is we wish to find numbers *Δ*_{1} such that there are certainly lattices Λ with d(Λ) = Δ_{1}
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.

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## Copyright information

© Springer-Verlag Berlin Heidelberg 1997