[{"abstract":[{"lang":"eng"}],"intvolume":" 54","month":"03","quality_controlled":0,"publication":"Quarterly Journal of Mathematics","dc":{"rights":["info:eu-repo/semantics/closedAccess"],"creator":["Timothy Browning"],"title":["Counting rational points on diagonal quadratic surfaces"],"source":["Browning TD. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 2003;54(1):11-31. doi:10.1093/qjmath/54.1.11"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1093/qjmath/54.1.11"],"identifier":["https://research-explorer.ista.ac.at/record/208"],"description":["For any ε > 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":["2003"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"publisher":["Oxford University Press"]},"day":"01","publication_status":"published","date_created":"2018-12-11T11:45:13Z","issue":"1","volume":54,"date_published":"2003-03-01T00:00:00Z","uri_base":"https://research-explorer.ista.ac.at","page":"11 - 31","_id":"208","status":"public","type":"journal_article","extern":1,"citation":{"mla":"Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford University Press, 2003, pp. 11–31, doi:10.1093/qjmath/54.1.11.","apa":"Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11","short":"T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.","ieee":"T. D. Browning, “Counting rational points on diagonal quadratic surfaces,” Quarterly Journal of Mathematics, vol. 54, no. 1. Oxford University Press, pp. 11–31, 2003.","chicago":"Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics. Oxford University Press, 2003. https://doi.org/10.1093/qjmath/54.1.11.","ista":"Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31."},"dini_type":"doc-type:article","date_updated":"2021-01-12T06:55:10Z","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177"}],"publist_id":"7705"}]