## Functional divisibility

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### Functional divisibility

$k$ is a given natural number. Find all functions $f: \mathbb{N}\rightarrow\mathbb{N}$ such that for each $m,n\in\mathbb{N}$ the following holds: $f(m)+f(n)\mid (m+n)^k$
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rah4927
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### Re: Functional divisibility

tanmoy
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