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

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

dc.date.issued | 2004 | |

dc.description | This is a preprint of a book chapter published in High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams, Fields Institute Communications, AMS (2004). © American Mathematical Society. | en_US |

dc.description.abstract | We give upper bounds for the number of solutions to congruences with the Euler function φ(n) and with the Carmichael function λ(n). We also give nontrivial bounds for certain exponential sums involving φ(n). Analogous results can also be obtained for the sum of divisors function and similar arithmetic functions. | en_US |

dc.identifier.uri | http://hdl.handle.net/10355/10640 | |

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.lcsh | Number theory | en_US |

dc.title | Congruences and Exponential Sums with the Euler Function | en_US |

dc.type | Preprint | en_US |