MathDB

6

Part of 1997 Austrian-Polish Competition

Problems(1)

Functional equation

Source: Austrain Polish 1997

12/7/2013
Show that there is no integer-valued function on the integers such that f(m+f(n))=f(m)āˆ’nf(m+f(n))=f(m)-n for all m,nm,n.
functioninductionalgebra solvedalgebra