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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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## Recent Activity

Jul 5

new correction: Error in proof of Proposition 2 by alex2907

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new question: A good question by Ron Castillo

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new question: A trascendental number. by Ron Castillo

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new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo

Jun 19

new question: Banach lattice valued Bochner integrals by math ias

Jun 13

new question: young tableau and young projectors by zmth

Jun 11

new question: binomial coefficients: is this a known relation? by pfb

Jun 6

new question: difference of a function and a finite sum by pfb