{"type":"journal_article","publist_id":"7695","publication_status":"published","volume":119,"extern":1,"month":"12","publication":"Journal of Number Theory","citation":{"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>","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>","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>.","short":"T.D. Browning, Journal of Number Theory 119 (2005) 242–283.","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.","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>."},"publisher":"Elsevier","status":"public","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."}],"acknowledgement":"EPSRC GR/R93155/01","date_published":"2005-12-27T00:00:00Z","author":[{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","orcid":"0000-0002-8314-0177","first_name":"Timothy D"}],"date_created":"2018-12-11T11:45:16Z","date_updated":"2021-01-12T06:55:45Z","title":"The density of rational points on a certain singular cubic surface","page":"242 - 283","issue":"2","day":"27","year":"2005","_id":"217","doi":"10.1016/j.jnt.2005.11.007","quality_controlled":0,"intvolume":"       119"}