Thursday, February 23, 2017

functional equations - How to find a such function f:3mathbbN+1to4mathbbN+1

How to find a bijective function f:3N+14N+1 such that f(xy)=f(x)f(y),x,y3N+1



If i let x,y3N+1 then there exists n,mN such that x=3n+1,y=3m+1



but I have no idea how I can find a such f, Is there a method please ?

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