IMO 2013 Shortlist N1
Let Zą0 be the set of positive integers. Find all functions f : Zą0 Ñ Zą0 such that m2 fpnq | mfpmq n for all positive i...
Category: Number Theory
Problem
Let Zą0 be the set of positive integers. Find all functions f : Zą0 Ñ Zą0 such that
m2
fpnq | mfpmq n
for all positive integers m and n.
(Malaysia)