[{"article_processing_charge":"No","date_published":"2019-06-20T00:00:00Z","date_updated":"2023-08-25T10:11:55Z","title":"Counting rational points on biquadratic hypersurfaces","month":"06","_id":"6310","external_id":{"arxiv":["1810.08426"],"isi":["000468857300025"]},"date_created":"2019-04-16T09:13:25Z","publication":"Advances in Mathematics","file_date_updated":"2020-07-14T12:47:27Z","page":"920-940","oa":1,"intvolume":"       349","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","volume":349,"scopus_import":"1","year":"2019","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","last_name":"Browning"},{"full_name":"Hu, L.Q.","last_name":"Hu","first_name":"L.Q."}],"isi":1,"publication_identifier":{"eissn":["10902082"],"issn":["00018708"]},"department":[{"_id":"TiBr"}],"publisher":"Elsevier","day":"20","doi":"10.1016/j.aim.2019.04.031","arxiv":1,"oa_version":"Submitted Version","quality_controlled":"1","publication_status":"published","abstract":[{"lang":"eng","text":"An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariskiopen subset of an arbitrary smooth biquadratic hypersurface in sufficiently many variables. The proof uses the Hardy–Littlewood circle method."}],"status":"public","has_accepted_license":"1","language":[{"iso":"eng"}],"ddc":["512"],"file":[{"checksum":"a63594a3a91b4ba6e2a1b78b0720b3d0","relation":"main_file","file_size":379158,"content_type":"application/pdf","date_updated":"2020-07-14T12:47:27Z","file_name":"wliqun.pdf","access_level":"open_access","file_id":"6311","creator":"tbrownin","date_created":"2019-04-16T09:12:20Z"}],"citation":{"ieee":"T. D. Browning and L. Q. Hu, “Counting rational points on biquadratic hypersurfaces,” <i>Advances in Mathematics</i>, vol. 349. Elsevier, pp. 920–940, 2019.","apa":"Browning, T. D., &#38; Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2019.04.031\">https://doi.org/10.1016/j.aim.2019.04.031</a>","short":"T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.","ista":"Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 349, 920–940.","mla":"Browning, Timothy D., and L. Q. Hu. “Counting Rational Points on Biquadratic Hypersurfaces.” <i>Advances in Mathematics</i>, vol. 349, Elsevier, 2019, pp. 920–40, doi:<a href=\"https://doi.org/10.1016/j.aim.2019.04.031\">10.1016/j.aim.2019.04.031</a>.","chicago":"Browning, Timothy D, and L.Q. Hu. “Counting Rational Points on Biquadratic Hypersurfaces.” <i>Advances in Mathematics</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.aim.2019.04.031\">https://doi.org/10.1016/j.aim.2019.04.031</a>.","ama":"Browning TD, Hu LQ. Counting rational points on biquadratic hypersurfaces. <i>Advances in Mathematics</i>. 2019;349:920-940. doi:<a href=\"https://doi.org/10.1016/j.aim.2019.04.031\">10.1016/j.aim.2019.04.031</a>"},"type":"journal_article"}]