Sums of arithmetic functions over values of binary forms
Number Theory
2015-06-26 v1
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.
Cite
@article{arxiv.math/0604119,
title = {Sums of arithmetic functions over values of binary forms},
author = {R. de la Breteche and T. D. Browning},
journal= {arXiv preprint arXiv:math/0604119},
year = {2015}
}
Comments
12 pages