IMO 2014 Shortlist A4
Determine all functions f : Z Ñ Z satisfying f fpmq n ˘ fpmq “ fpnq fp3mq 2014 for all integers m and n. (Netherlands) S...
Category: Algebra
Problem
Determine all functions f : Z Ñ Z satisfying
f
fpmq n
˘
fpmq “ fpnq fp3mq ` 2014
for all integers m and n.
(Netherlands) Shortlisted problems 5