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1993 OIM Problems/Problem 3

Revision as of 13:15, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Let <math>N*={1,2,3,\cdots }</math>. Find all functions <math>f: N* \to N*</math> such that: i. If <math>x < y</math> then <math>f(x) < f(y)</math> ii. <math>f...")
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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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