# 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.

Title | Jordan’s totient function |
---|---|

Canonical name | JordansTotientFunction |

Date of creation | 2013-03-22 11:42:21 |

Last modified on | 2013-03-22 11:42:21 |

Owner | akrowne (2) |

Last modified by | akrowne (2) |

Numerical id | 39 |

Author | akrowne (2) |

Entry type | Definition |

Classification | msc 11-00 |

Classification | msc 46M15 |

Classification | msc 18C15 |