MathDB

Hungary-Israel Binational 1999\3

Source: functional equation from Q to R

October 30, 2008

functioninductionalgebra unsolvedalgebra

Problem Statement

Find all functions

f:\mathbb{Q}\to\mathbb{R}

that satisfy f(x\plus{}y)\equal{}f(x)f(y)\minus{}f(xy)\plus{}1 for every

x,y\in\mathbb{Q}