Category:Completely Multiplicative Functions

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This category contains results about Completely Multiplicative Functions.


Let $K$ be a field.

Let $f: K \to K$ be a function on $K$.


Then $f$ is described as completely multiplicative if and only if:

$\forall m, n \in K: f \left({m n}\right) = f \left({m}\right) f \left({n}\right)$