A note on the Diophantine equation 𝑥³+𝑦³+𝑧³=3

Cassels, J. W. S.

doi:10.1090/S0025-5718-1985-0771049-4

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

A note on the Diophantine equation $x^ 3+y^ 3+z^ 3=3$
HTML articles powered by AMS MathViewer

by J. W. S. Cassels PDF

Math. Comp. 44 (1985), 265-266 Request permission

Abstract:

Any integral solution of the title equation has $x \equiv y \equiv z$ (9).

References

J. Reine Angew. Math.

L. J. Mordell, On the integer solutions of the equation $x^2+y^2+z^2+2xyz=n$, J. London Math. Soc. 28 (1953), 500–510. MR 56619, DOI 10.1112/jlms/s1-28.4.500
Manny Scarowsky and Abraham Boyarsky, A note on the Diophantine equation $x^{n}+y^{n}+z^{n}=3$, Math. Comp. 42 (1984), no. 165, 235–237. MR 726000, DOI 10.1090/S0025-5718-1984-0726000-9