MathDB
find all functions

Source: Austria 1986

July 7, 2009
functionalgebra unsolvedalgebra

Problem Statement

Given a positive integer n n, find all functions F:N→R F: \mathbb{N} \rightarrow \mathbb{R} such that F(x\plus{}y)\equal{}F(xy\minus{}n) whenever x,y∈N x,y \in \mathbb{N} satisfy xy>n xy>n.
Back to ProblemsView on AoPS