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