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On the area of planar convex sets containing many lattice points

Published online by Cambridge University Press:  17 April 2009

P. R. Scott
P. R. Scott
Affiliation:
Department of Mathematics, University of Adelaide, Adelaide, South Australia, Australia.
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Abstract

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A classical theorem of van der Corput gives a bound for the volume of a symmetric convex set in terms of the number of lattice points it contains. This theorem is here generalized and extended for a large class of non-symmetric sets in the plane.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 3 , June 1987 , pp. 441 - 454
Copyright
Copyright © Australian Mathematical Society 1987

References

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