Question 41
Find all the functions $f: \mathbb{N} \to \mathbb{N}$ such that:
$$
n + f(m) \mid f(n) + n f(m) \quad (1)
$$
for any $m, n \in \mathbb{N}$
$$
n + f(m) \mid f(n) + n f(m) \quad (1)
$$
for any $m, n \in \mathbb{N}$
MathNet 2017-part-01 — 176 problems (EN–VI) Question 41
Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)