## Imo 2010-3

Discussion on International Mathematical Olympiad (IMO)
Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Imo 2010-3

Find all functions $g:\mathbb N \to \mathbb N$ such that $(g(m)+n)(g(n)+m)$ is a perfect square for positive integer $m,n$
One one thing is neutral in the universe, that is $0$.

Moon