IMO 2015 Shortlist A2
Determine all functions f : Z Ñ Z with the property that f x ´ fpyq ˘ “ f fpxq ˘ ´ fpyq ´ 1 holds for all x,y P Z. (Croa...
Category: Algebra
Problem
Determine all functions f : Z Ñ Z with the property that
f
x ´ fpyq ˘ “ f
fpxq
˘
´ fpyq ´ 1
holds for all x,y P Z.
(Croatia)