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Erschienen in:
1997 | OriginalPaper | Buchkapitel
The theorem of MINKOWSKI-HLAWKA
verfasst von : J. W. S. Cassels
Erschienen in: An Introduction to the Geometry of Numbers
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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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.