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On the Number of Convex Lattice Polygons

  • Imre Bárány (a1) and János Pach (a2)
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.

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[2]G. E. Andrews (1965) A lower bound for the volumes of strictly convex bodies with many boundary points. Trans. Amer. Math. Soc. 106 270279.

[5]G. Rademacher (1973) Topics in Analytic Number Theory, Springer.

[7]W. Schmidt (1985) Integer points on curves and surfaces. Monatshefte Math. 99 4582.

[8]G. Szekeres (1951) On the theory of partitions. Quarterly J. Math. Oxford, Second Series 2 85108.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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