{"publication":"Discrete Analysis","citation":{"chicago":"Browning, Timothy D, and Roger Heath-Brown. “Counting Rational Points on Quadric Surfaces.” Discrete Analysis. Alliance of Diamond Open Access Journals, 2018. https://doi.org/10.19086/da.4375.","short":"T.D. Browning, R. Heath-Brown, Discrete Analysis 15 (2018) 1–29.","mla":"Browning, Timothy D., and Roger Heath-Brown. “Counting Rational Points on Quadric Surfaces.” Discrete Analysis, vol. 15, Alliance of Diamond Open Access Journals, 2018, pp. 1–29, doi:10.19086/da.4375.","ieee":"T. D. Browning and R. Heath-Brown, “Counting rational points on quadric surfaces,” Discrete Analysis, vol. 15. Alliance of Diamond Open Access Journals, pp. 1–29, 2018.","apa":"Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis. Alliance of Diamond Open Access Journals. https://doi.org/10.19086/da.4375","ista":"Browning TD, Heath-Brown R. 2018. Counting rational points on quadric surfaces. Discrete Analysis. 15, 1–29.","ama":"Browning TD, Heath-Brown R. Counting rational points on quadric surfaces. Discrete Analysis. 2018;15:1-29. doi:10.19086/da.4375"},"page":"1 - 29","date_published":"2018-09-07T00:00:00Z","day":"07","article_processing_charge":"No","_id":"178","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","title":"Counting rational points on quadric surfaces","status":"public","ddc":["512"],"intvolume":" 15","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","text":"We give an upper bound for the number of rational points of height at most B, lying on a surface defined by a quadratic form Q. The bound shows an explicit dependence on Q. It is optimal with respect to B, and is also optimal for typical forms Q."}],"main_file_link":[{"url":"https://arxiv.org/abs/1801.00979","open_access":"1"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"arxiv":["1801.00979"]},"quality_controlled":"1","doi":"10.19086/da.4375","language":[{"iso":"eng"}],"month":"09","publication_identifier":{"eissn":["2397-3129"]},"year":"2018","publication_status":"published","publisher":"Alliance of Diamond Open Access Journals","author":[{"first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"},{"full_name":"Heath-Brown, Roger","first_name":"Roger","last_name":"Heath-Brown"}],"date_updated":"2022-08-26T09:13:02Z","date_created":"2018-12-11T11:45:02Z","volume":15,"extern":"1"}