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A counterpart to Oler's lattice-point theorem

Published online by Cambridge University Press:  26 February 2010

J. M. Wills
J. M. Wills
Affiliation:
Math. Inst. Univ. Siegen, Hoelderlinstr. 3, D-5900 Siegen, Fed. Rep. Germany.
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Abstract

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.

Type
Research Article
Information
Mathematika , Volume 36 , Issue 2 , December 1989 , pp. 216 - 220
Copyright
Copyright © University College London 1989

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