Imo 2010-3

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Masum
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Imo 2010-3

Unread post by Masum » Thu Dec 09, 2010 4:34 am

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 $0$.

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Moon
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Re: Imo 2010-3

Unread post by Moon » Sat Dec 11, 2010 9:21 pm

Whoa! My precious! (lost it) :D
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.

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