Crossref Citations
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GRITZMANN, Peter
and
WILLS, Jörg M.
1993.
Handbook of Convex Geometry.
p.
765.
Published online by Cambridge University Press: 26 February 2010
Oler's lattice-point theorem gives a sharp upper bound for the lattice-point enumerator GΛ of a certain class of lattices in the plane. We give a sharp lower bound for GΛ of the corresponding class of lattices in all dimensions. This result is closely related to the Blichfeldt-van der Corputgeneralization of Minkowski's fundamental lattice-point theorem.