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|
|Pages (from-to)||291 - 304|
|Number of pages||14|
|Publication status||Published - Sep 2006|