Geodesic
On a Conditional Cauchy-type Functional Equation Involving Powers
Serdica Mathematical Journal, Tome 25 (1999) no. 1, pp. 5-10.

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We solve the functional equation f(x^m + y) = f(x)^m + f(y) in the realm of polynomials with integer coefficients.
Keywords: Functional Equation 
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Martin-Gutierrez, Emma. On a Conditional Cauchy-type Functional Equation Involving Powers. Serdica Mathematical Journal, Tome 25 (1999) no. 1, pp. 5-10. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_1_a1/