Monday, June 7, 2021

IMO 2019 Q1

 This problem from IMO 2019 (international maths olympiad) was surprisingly easier than expected.


Find all functions $f: Z \to Z$ such that


$$ f(2a) + 2f(b) = f(f(a+b)) \quad \quad \forall a,b \in Z$$


$Z$ is the set of integers.

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