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1993 OIM Problems/Problem 3

Problem

Let $N^*={1,2,3,\cdots }$. Find all functions $f: N^* \to N^*$ such that:

i. If $x < y$ then $f(x) < f(y)$

ii. $f(y(f(x)) = x^2 f(xy)$, for all $x$, and $y$ in $N^*$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe8.htm

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