Binary linear forms as sums of two squares
Number Theory
2014-01-14 v1
Abstract
We revisit recent work of Heath-Brown on the average order of the quantity r(L_1)r(L_2)r(L_3)r(L_4), for suitable binary linear forms L_1,..., L_4, for integers ranging over quite general regions. In addition to improving the error term in Heath-Brown's estimate we generalise his result quite extensively.
Keywords
Cite
@article{arxiv.0712.1918,
title = {Binary linear forms as sums of two squares},
author = {R. de la Breteche and T. D. Browning},
journal= {arXiv preprint arXiv:0712.1918},
year = {2014}
}
Comments
34 pages