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

DOI:
https://doi.org/10.1090/S0025-5718-1963-0166168-5

MathSciNet review:
0166168

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References | Similar Articles | Additional Information

**[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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DOI:
https://doi.org/10.1090/S0025-5718-1963-0166168-5

Article copyright:
© Copyright 1963
American Mathematical Society