Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1998 IMO Problems/Problem 6

Revision as of 07:45, 19 July 2016 by 1=2 (talk | contribs)

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

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1998_IMO_Problems/Problem_6&oldid=79569"