Home > IMO, Number theory, Olympiad, Problem Solving > Preserving sum 3 cubes

Preserving sum 3 cubes


Determine all functions f:\mathbb{Z} \to \mathbb{Z} satisfying f(x^3+y^3+z^3)=(f(x))^3+(f(y))^3+(f(z))^3, for all integers x,y,z.
Titu Andreescu, AMM 10728

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