{"oa":1,"oa_version":"Preprint","date_created":"2021-01-17T23:01:11Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"European Mathematical Society","scopus_import":"1","quality_controlled":"1","title":"Free rational points on smooth hypersurfaces","status":"public","type":"journal_article","day":"07","month":"12","article_processing_charge":"No","date_updated":"2023-08-24T11:11:36Z","publication_status":"published","date_published":"2020-12-07T00:00:00Z","issue":"4","department":[{"_id":"TiBr"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1906.08463"}],"abstract":[{"lang":"eng","text":"Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle method to count “sufficiently free” rational points of bounded height on arbitrary smooth projective hypersurfaces of low degree that are defined over the rationals."}],"intvolume":"        95","volume":95,"year":"2020","isi":1,"doi":"10.4171/CMH/499","page":"635-659","author":[{"orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D"},{"last_name":"Sawin","first_name":"Will","full_name":"Sawin, Will"}],"publication":"Commentarii Mathematici Helvetici","external_id":{"isi":["000596833300001"],"arxiv":["1906.08463"]},"publication_identifier":{"eissn":["14208946"],"issn":["00102571"]},"article_type":"original","citation":{"mla":"Browning, Timothy D., and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” <i>Commentarii Mathematici Helvetici</i>, vol. 95, no. 4, European Mathematical Society, 2020, pp. 635–59, doi:<a href=\"https://doi.org/10.4171/CMH/499\">10.4171/CMH/499</a>.","ieee":"T. D. Browning and W. Sawin, “Free rational points on smooth hypersurfaces,” <i>Commentarii Mathematici Helvetici</i>, vol. 95, no. 4. European Mathematical Society, pp. 635–659, 2020.","chicago":"Browning, Timothy D, and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” <i>Commentarii Mathematici Helvetici</i>. European Mathematical Society, 2020. <a href=\"https://doi.org/10.4171/CMH/499\">https://doi.org/10.4171/CMH/499</a>.","ista":"Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.","apa":"Browning, T. D., &#38; Sawin, W. (2020). Free rational points on smooth hypersurfaces. <i>Commentarii Mathematici Helvetici</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/CMH/499\">https://doi.org/10.4171/CMH/499</a>","ama":"Browning TD, Sawin W. Free rational points on smooth hypersurfaces. <i>Commentarii Mathematici Helvetici</i>. 2020;95(4):635-659. doi:<a href=\"https://doi.org/10.4171/CMH/499\">10.4171/CMH/499</a>","short":"T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659."},"language":[{"iso":"eng"}],"_id":"9007"}