MathDB

2

Part of 2011 Northern Summer Camp Of Mathematics

Problems(1)

All functions with f(m^2+3n^2)=(f(m))^2 + 3(f(n))^2

Source: Vietnam Northern Summer Camp of Mathematics, 2011 - P2

8/15/2011
Find all functions f:N∪{0}→N∪{0}f: \mathbb N \cup \{0\} \to \mathbb N\cup \{0\} such that f(1)>0f(1)>0 and f(m^2+3n^2)=(f(m))^2 + 3(f(n))^2   \forall m,n \in \mathbb N\cup \{0\}.
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