The number of lattice points in a -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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References | Similar Articles | Additional Information

**[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