2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75903Let $f$ be a polynomial of degree $d>6$, with integer coefficients. Then the paucity of non-trivial positive integer solutions to the equation $f(a)+f(b)=f(c)+f(d)$ is established. The corresponding situation for equal sums of three like polynomials is also investigated.8 pages; to appear in Bull. London Math. SocNumber Theory11D45 (11P05)text