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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

A calculation of the number of lattice points in the circle and sphere


Authors: W. Fraser and C. C. Gotlieb
Journal: Math. Comp. 16 (1962), 282-290
MSC: Primary 10.03; Secondary 10.45
Corrigendum: Math. Comp. 17 (1963), 104-104.
Corrigendum: Math. Comp. 17 (1963), 104-104.
MathSciNet review: 0155788
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References [Enhancements On Off] (What's this?)

  • [1] J. R. Wilton, ``The lattice points of a cirlce: an historical account of the problem,'' Messenger of Mathematics, v. 58, 1929, p. 67-80.
  • [2] Arnold Walfisz, Gitterpunkte in mehrdimensionalen Kugeln, Monografie Matematyczne. Vol. 33, Państwowe Wydawnictwo Naukowe, Warsaw, 1957 (German). MR 0097357 (20 #3826)
  • [3] Loo-keng Hua, The lattice-points in a circle, Quart. J. Math., Oxford Ser. 13 (1942), 18–29. MR 0007768 (4,190e)
  • [4] E. Landau, Vorlesungen üeber Zahlentheorie, Von S. Hirzel, Leipzig, 1927, p. 264.
  • [5] Hilbert & Cohn-Vossen, Anschauliche Geometrie, Dover, New York, 1944. p. 29.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1962-0155788-9
PII: S 0025-5718(1962)0155788-9
Article copyright: © Copyright 1962 American Mathematical Society