A note on sums of four cubes
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- by M. Lal, W. Russell and W. J. Blundon PDF
- Math. Comp. 23 (1969), 423-424 Request permission
Abstract:
A search for the integral solutions of the Diophantine equation ${x^3} + {y^3} + 2{z^3} = k$ for $|x|$ $|y|$ and $|z| < {10^5}$ was made on an I.B.M. 1620 Model 1. These results showed that there are now just 19 values of $k$ in the range $1 \leqq k \leqq 999$ for which no solution is known.References
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C. Ko, “Decompositions into four cubes,” J. London Math. Soc., v. 11, 1936, pp. 218–219.
- A. Mąkowski, Sur quelques problèmes concernant les sommes de quatre cubes, Acta Arith. 5 (1959), 121–123 (French). MR 106879, DOI 10.4064/aa-5-2-121-123
- A. Schinzel and W. Sierpiński, Sur les sommes de quatre cubes, Acta Arith. 4 (1958), 20–30 (French). MR 95158, DOI 10.4064/aa-4-1-20-30
- Wacław Sierpiński, A selection of problems in the theory of numbers, A Pergamon Press Book, The Macmillan Company, New York, 1964. Translated from the Polish by A. Sharma. MR 0170843
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 423-424
- MSC: Primary 10.12
- DOI: https://doi.org/10.1090/S0025-5718-1969-0245513-1
- MathSciNet review: 0245513