MathDB
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

July 30, 2019
functional equationfunctional equation in ZalgebrafunctionBMO 2016Linear FunctionBMO

Problem Statement

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.
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