--- res: bibo_abstract: - We revisit recent work of Heath-Brown on the average order of the quantity r(L1(x))⋯r(L4(x)), for suitable binary linear forms L1,...,L4, as x=(x1,x2) ranges over quite general regions in ℤ2. In addition to improving the error term in Heath-Browns estimate, we generalise his result to cover a wider class of linear forms.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Régis foaf_name: de la Bretèche, Régis foaf_surname: De La Bretèche - foaf_Person: foaf_givenName: Timothy D foaf_name: Timothy Browning foaf_surname: Browning foaf_workInfoHomepage: http://www.librecat.org/personId=35827D50-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-8314-0177 bibo_doi: 10.1112/S0010437X08003692 bibo_issue: '6' bibo_volume: 144 dct_date: 2008^xs_gYear dct_publisher: Cambridge University Press@ dct_title: Binary linear forms as sums of two squares@ ...