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Mathematics of Computation

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Experiments on the lattice problem of Gauss

Authors: H. B. Keller and J. R. Swenson
Journal: Math. Comp. 17 (1963), 223-230
MSC: Primary 10.45; Secondary 10.25
MathSciNet review: 0166168
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References [Enhancements On Off] (What's this?)

  • [1] L. K. Hua, ``The lattice-points in a circle,'' Quart. J. Math., Oxford Ser., v. 13, 1942, p. 18-29. MR 0007768 (4:190e)
  • [2] G. H. Hardy, ``On the expression of a number as the sum of two squares,'' Quart. J. Math. v. 46, 1915, p. 263-283, and ``On Dirichlet's divisor problem,'' Proc. London Math. Soc., Ser. 2, v. 15, 1916, p. 1-25.
  • [3] W. Fraser & C. C. Gotlieb, ``A calculation of the number of lattice points in the circle and sphere,'' Math. Comp., v. 16, 1962, p. 282-290. MR 0155788 (27:5722)
  • [4] H. L. Mitchell, III, Numerical Experiments on the Number of Lattice Points in the Circle, Technical Report No. 17, Appl. Math. and Stat. Labs., Stanford University, Stanford, California.

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Article copyright: © Copyright 1963 American Mathematical Society

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