dc.contributor.author | Banks, William David, 1964- | |

dc.contributor.author | Ford, Kevin | |

dc.contributor.author | Luca, Florian | |

dc.contributor.author | Pappalardi, Francesco | |

dc.contributor.author | Shparlinski, Igor E. | |

dc.date.issued | 2005 | |

dc.description | This is a preprint of an article published in Monatshefte für Mathematik (2005), Volume 146, Number 1, 1-19, DOI: 10.1007/s00605-005-0302-7. The final publication is available at springerlink.com. | en_US |

dc.description.abstract | Let φ (n) and λ(n) denote the Euler and Carmichael functions, respectively. In this paper, we investigate the equation φ (n)r = λ(n)s, where r ≥ s ≥ 1 are fixed positive integers. We also study those positive integers n, not equal to a prime or twice a prime, such that φ (n) = p−1 holds with some prime p, as well as those positive integers n such that the equation φ (n) = f(m) holds with some integer m,
where f is a fixed polynomial with integer coefficients and degree deg f > 1. | en_US |

dc.identifier.uri | http://hdl.handle.net/10355/10673 | |

dc.relation.ispartof | Mathematics publications (MU) | en |

dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics | |

dc.source.uri | http://www.math.missouri.edu/~bbanks/papers/index.html | en_US |

dc.subject | cardinality | en_US |

dc.subject.lcsh | Number theory | en_US |

dc.subject.lcsh | Cardinal numbers | en_US |

dc.title | Values of the Euler Function in Various Sequences | en_US |

dc.type | Preprint | en_US |