Divizibilitate si ecuatie functionala

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Filip Chindea
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Divizibilitate si ecuatie functionala

Post by Filip Chindea »

Gasiti functiile surjective \( f : \mathbb{N}^{\ast} \rightarrow \mathbb{N}^{\ast} \) astfel incat \( \forall m, n \in \mathbb{N}^{\ast} \) si \( p \) prim, \( p | f(m + n) \Leftrightarrow p | f(m) + f(n) \).

[ IMO Shortlist 2007, N5 ]
Life is complex: it has real and imaginary components.
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