--- res: bibo_abstract: - Given an absolutely irreducible ternary form F, the purpose of this paper is to produce better upper bounds for the number of integer solutions to the equation F=0, that are restricted to lie in very lopsided boxes. As an application of the main result, a new paucity estimate is obtained for equal sums of two like powers.@eng bibo_authorlist: - 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 - foaf_Person: foaf_givenName: Roger foaf_name: Heath-Brown, Roger foaf_surname: Heath Brown bibo_doi: 10.1007/s00209-004-0719-z bibo_issue: '2' bibo_volume: 251 dct_date: 2005^xs_gYear dct_publisher: Unknown@ dct_title: Plane curves in boxes and equal sums of two powers@ ...