{"month":"03","day":"01","publisher":"Oxford University Press","volume":54,"year":"2003","type":"journal_article","date_published":"2003-03-01T00:00:00Z","date_created":"2018-12-11T11:45:13Z","title":"Counting rational points on diagonal quadratic surfaces","extern":1,"publication_status":"published","status":"public","intvolume":"        54","citation":{"ieee":"T. D. Browning, “Counting rational points on diagonal quadratic surfaces,” <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1. Oxford University Press, pp. 11–31, 2003.","mla":"Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1, Oxford University Press, 2003, pp. 11–31, doi:<a href=\"https://doi.org/10.1093/qjmath/54.1.11\">10.1093/qjmath/54.1.11</a>.","apa":"Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. <i>Quarterly Journal of Mathematics</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/qjmath/54.1.11\">https://doi.org/10.1093/qjmath/54.1.11</a>","chicago":"Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” <i>Quarterly Journal of Mathematics</i>. Oxford University Press, 2003. <a href=\"https://doi.org/10.1093/qjmath/54.1.11\">https://doi.org/10.1093/qjmath/54.1.11</a>.","short":"T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.","ama":"Browning TD. Counting rational points on diagonal quadratic surfaces. <i>Quarterly Journal of Mathematics</i>. 2003;54(1):11-31. doi:<a href=\"https://doi.org/10.1093/qjmath/54.1.11\">10.1093/qjmath/54.1.11</a>","ista":"Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31."},"publist_id":"7705","author":[{"last_name":"Browning","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"}],"doi":"10.1093/qjmath/54.1.11","issue":"1","page":"11 - 31","date_updated":"2021-01-12T06:55:10Z","quality_controlled":0,"publication":"Quarterly Journal of Mathematics","_id":"208","abstract":[{"lang":"eng","text":"For any ε &gt; 0 and any diagonal quadratic form Q ∈ ℤ[x 1, x 2, x 3, x 4] with a square-free discriminant of modulus Δ Q ≠ 0, we establish the uniform estimate ≪ε B 3/2+ε + B 2+ε/Δ Q 1/6 for the number of rational points of height at most B lying in the projective surface Q = 0."}]}