# Category:Replicative Functions

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This category contains results about Replicative Functions.

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

- $\displaystyle \forall n \in \Z_{\ge 0}: \sum_{k \mathop = 0}^{n - 1} f \left({x + \frac k n}\right) = f \left({n x}\right)$

where $\sum$ denotes indexed summation.

## Pages in category "Replicative Functions"

The following 11 pages are in this category, out of 11 total.