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 |
|---|---|
| Original language | English |
| Pages (from-to) | 291 - 304 |
| Number of pages | 14 |
| Journal | Acta Arithmetica |
| Volume | 125 (3) |
| Publication status | Published - Sept 2006 |