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