• The area within a curve

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    • Keywords


      Estimation of area; lattice points

    • Abstract


      The area of a simple closed convex curve can be estimated in terms of the number of points of a square lattice that lie within the curve. We obtain the usual error bound without integration using a form of the Hardy—Littlewood—Ramanujan circle method, and also present simple estimates for the mean square error.

    • Author Affiliations


      M N Huxley1

      1. Department of Pure Mathematics, University College, Cardiff, PO Box 78, Cardiff - CF1 1XL, UK
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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