IMO 2014 Shortlist A6

Find all functions f : Z Ñ Z such that n2 4fpnq “ fpfpnqq2 for all n P Z. (United Kingdom) 6 IMO 2014 South Africa

imomathematicsolympiadshortlistalgebra

IMO 2014 Shortlist A6

Category: Algebra

Problem

Find all functions f : Z Ñ Z such that n2 ` 4fpnq “ fpfpnqq2 for all n P Z. (United Kingdom) 6 IMO 2014 South Africa