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On the Number of Convex Lattice Polygons

Published online by Cambridge University Press:  12 September 2008

Imre Bárány  and
János Pach
Imre Bárány
Affiliation:
Cowles Foundation, Yale University, New Haven, CT 06520, USA; and Courant Institute, New York University, New York, NY 10012, USA
János Pach
Affiliation:
Courant Institute, New York University, New York, NY 10012, USA; and University College London, Gower Street, London WC1E 6BT, UK
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Abstract

We prove that there are at most {cA1/3} different lattice polygons of area A. This improves a result of V. I. Arnol'd.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 4 , December 1992 , pp. 295 - 302
Copyright
Copyright © Cambridge University Press 1992

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