MathDB

A8

Part of 2016 Balkan MO Shortlist

Problems(1)

f : Z \to Z, f(g(n)) - g(f(n)) is independent on n for any g : Z\to Z.

Source: Balkan BMO Shortlist 2016 A8

7/30/2019
Find all functions f:Z→Zf : Z \to Z for which f(g(n))−g(f(n))f(g(n)) - g(f(n)) is independent on nn for any g:Z→Zg : Z \to Z.
functional equationfunctional equation in ZalgebrafunctionBMO 2016Linear FunctionBMO