### 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.

Original language | English |
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Pages (from-to) | 291 - 304 |

Number of pages | 14 |

Journal | Acta Arithmetica |

Volume | 125 (3) |

Publication status | Published - Sep 2006 |

### Bibliographical note

Publisher: Polish Academy of Sciences## Fingerprint Dive into the research topics of 'Sums of arithmetic functions over values of binary forms'. Together they form a unique fingerprint.

## Cite this

de la Bretèche, R., & Browning, TD. (2006). Sums of arithmetic functions over values of binary forms.

*Acta Arithmetica*,*125 (3)*, 291 - 304. http://journals.impan.gov.pl/cgi-bin/aa/pdf?aa125-3-06