{"year":"2003","author":[{"first_name":"Timothy D","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"}],"publisher":"Oxford University Press","issue":"1","quality_controlled":0,"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."}],"publication_status":"published","date_published":"2003-03-01T00:00:00Z","volume":54,"month":"03","publist_id":"7705","date_created":"2018-12-11T11:45:13Z","day":"01","date_updated":"2021-01-12T06:55:10Z","status":"public","publication":"Quarterly Journal of Mathematics","_id":"208","doi":"10.1093/qjmath/54.1.11","citation":{"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>.","ista":"Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.","short":"T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.","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>.","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.","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>","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>"},"title":"Counting rational points on diagonal quadratic surfaces","intvolume":"        54","type":"journal_article","extern":1,"page":"11 - 31"}