## Abstract

Given a suitable arithmetic function h, we investigate the average order of h as it ranges over the values taken by an integral binary form F. A general upper bound is obtained for this quantity, in which the dependence upon the coefficients of F is made completely explicit.

Translated title of the contribution | Sums of arithmetic functions over values of binary forms |
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Original language | English |

Pages (from-to) | 291 - 304 |

Number of pages | 14 |

Journal | Acta Arithmetica |

Volume | 125 (3) |

Publication status | Published - Sep 2006 |