Difference between revisions of "1998 IMO Problems/Problem 6"

Revision as of 07:45, 19 July 2016

Determine the least possible value of $f(1998),$ where $f:\Bbb{N}\to \Bbb{N}$ is a function such that for all $m,n\in {\Bbb N}$ ,

$f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}.$

@@ Line 1: / Line 1: @@
-Consider all functions f from the set N of all positive integers into itself sat-
+Determine the least possible value of <math>f(1998),</math> where <math>f:\Bbb{N}\to \Bbb{N}</math> is a function such that for all <math>m,n\in {\Bbb N}</math>,
-isfying f (t 2 f (s)) = s(f (t)) 2 for all s and t in N . Determine the least possible
-value of f (1998).
+<cmath>f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}. </cmath>
+[[Category:Olympiad Algebra Problems]]
+[[Category:Functional Equation Problems]]