{"_id":"217","acknowledgement":"EPSRC GR/R93155/01","volume":119,"date_updated":"2021-01-12T06:55:45Z","author":[{"last_name":"Browning","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D"}],"month":"12","doi":"10.1016/j.jnt.2005.11.007","title":"The density of rational points on a certain singular cubic surface","date_created":"2018-12-11T11:45:16Z","day":"27","publication_status":"published","publication":"Journal of Number Theory","date_published":"2005-12-27T00:00:00Z","type":"journal_article","citation":{"ama":"Browning TD. The density of rational points on a certain singular cubic surface. <i>Journal of Number Theory</i>. 2005;119(2):242-283. doi:<a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">10.1016/j.jnt.2005.11.007</a>","ieee":"T. D. Browning, “The density of rational points on a certain singular cubic surface,” <i>Journal of Number Theory</i>, vol. 119, no. 2. Elsevier, pp. 242–283, 2005.","short":"T.D. Browning, Journal of Number Theory 119 (2005) 242–283.","ista":"Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.","mla":"Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.” <i>Journal of Number Theory</i>, vol. 119, no. 2, Elsevier, 2005, pp. 242–83, doi:<a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">10.1016/j.jnt.2005.11.007</a>.","chicago":"Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.” <i>Journal of Number Theory</i>. Elsevier, 2005. <a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">https://doi.org/10.1016/j.jnt.2005.11.007</a>.","apa":"Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. <i>Journal of Number Theory</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">https://doi.org/10.1016/j.jnt.2005.11.007</a>"},"page":"242 - 283","status":"public","extern":1,"publist_id":"7695","issue":"2","quality_controlled":0,"publisher":"Elsevier","intvolume":"       119","abstract":[{"lang":"eng","text":"We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x1 x2 x3 = x4 (x1 + x2 + x3)2, has order of magnitude B (log B)6. This agrees with Manin's conjecture."}],"year":"2005"}