M N Huxley
Articles written in Proceedings – Mathematical Sciences
Volume 97 Issue 1-3 December 1987 pp 111-116
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.
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