Definition:Replicative Function

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Definition

A replicative function is a real function $f$ such that:

$\ds \forall n \in \Z_{\ge 0}: \sum_{k \mathop = 0}^{n - 1} \map f {x + \frac k n} = \map f {n x}$

where $\sum$ denotes indexed summation.


Also see

  • Results about replicative functions can be found here.


Sources