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# Jordan’s totient function

Let $p$ be a prime, $k$ and $n$ natural numbers. Then

$J_{k}(n)=n^{k}\prod_{{p|n}}(1-p^{{-k}})$ |

This is a generalization of Euler’s Totient Function.

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## Mathematics Subject Classification

11-00*no label found*46M15

*no label found*18C15

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