The octahedron equation implies the cube equation: an elementary proof.
Aequationes mathematicae, Tome 31 (1986), pp. 243-246.

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Mots-clés : n-dimensional cube functional equation, n-dimensional octahedron functional equation, Newton's formulas
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     author = {K. Ozeki and J.A. MacDougall},
     title = {The octahedron equation implies the cube equation: an elementary proof.},
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K. Ozeki; J.A. MacDougall. The octahedron equation implies the cube equation: an elementary proof.. Aequationes mathematicae, Tome 31 (1986), pp. 243-246. http://geodesic.mathdoc.fr/item/AM2_1986__31_137162/