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The number of lattice points in a $ k$-dimensional hypersphere


Author: W. C. Mitchell
Journal: Math. Comp. 20 (1966), 300-310
MSC: Primary 10.45
DOI: https://doi.org/10.1090/S0025-5718-1966-0195834-3
MathSciNet review: 0195834
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  • [1] A. Walfisz, Gitterpunkte in mehrdimensionalen Kuglen, Monografie Matematyczne, Vol. 33, Państwowe Wydawnictwo Naukowe, Warsaw, 1957. MR 20 #3826. MR 0097357 (20:3826)
  • [2] J. R. Wilton, "The lattice points of a circle: an historical account of the problem," Messenger of Mathematics, v. 58, 1929, pp. 67-80.
  • [3] Chen Jing-ren, Science Abstracts of China, v. 2, 1964, Number 2, abstract 271.
  • [4] W. Fraser & C. C. Gotlieb, "A calculation of the number of lattice points in the circle and sphere," Math. Comp., v. 16, 1962, pp. 282-290. MR 27 #5722. MR 0155788 (27:5722)
  • [5] Chen Jing-ren, Science Abstracts of China, v. 2, 1964, Number 1, abstract 213.
  • [6] H. L. Mitchell, III, Numerical Experiments on the Number of Lattice Points in the Circle, Appl. Math, and Statist. Labs., Stanford Univ., Stanford, California, 1961.
  • [7] H. B. Keller & J. R. Swenson, "Experiments on the lattice problem of Gauss," Math. Comp., v. 17, 1963, pp. 223-230. MR 29 #3445. MR 0166168 (29:3445)

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DOI: https://doi.org/10.1090/S0025-5718-1966-0195834-3
Article copyright: © Copyright 1966 American Mathematical Society

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