{"page":"89 - 113","date_created":"2018-12-11T11:45:28Z","title":"A survey of applications of the circle method to rational points","_id":"258","oa_version":"None","publication":"Arithmetic and Geometry","abstract":[{"lang":"eng","text":"Given a number field k and a projective algebraic variety X defined over k, the question of whether X contains a k-rational point is both very natural and very difficult. In the event that the set X(k) of k-rational points is not empty, one can also ask how the points of X(k) are distributed. Are they dense in X under the Zariski topology? Are they dense in the set."}],"date_updated":"2021-01-12T06:58:22Z","quality_controlled":"1","day":"01","status":"public","year":"2015","publist_id":"7644","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","publisher":"Cambridge University Press","doi":"10.1017/CBO9781316106877.009","language":[{"iso":"eng"}],"type":"book_chapter","month":"08","date_published":"2015-08-01T00:00:00Z","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D","first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177"}],"citation":{"short":"T.D. Browning, in:, Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113.","ama":"Browning TD. A survey of applications of the circle method to rational points. In: <i>Arithmetic and Geometry</i>. Cambridge University Press; 2015:89-113. doi:<a href=\"https://doi.org/10.1017/CBO9781316106877.009\">10.1017/CBO9781316106877.009</a>","chicago":"Browning, Timothy D. “A Survey of Applications of the Circle Method to Rational Points.” In <i>Arithmetic and Geometry</i>, 89–113. Cambridge University Press, 2015. <a href=\"https://doi.org/10.1017/CBO9781316106877.009\">https://doi.org/10.1017/CBO9781316106877.009</a>.","ista":"Browning TD. 2015.A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. , 89–113.","ieee":"T. D. Browning, “A survey of applications of the circle method to rational points,” in <i>Arithmetic and Geometry</i>, Cambridge University Press, 2015, pp. 89–113.","mla":"Browning, Timothy D. “A Survey of Applications of the Circle Method to Rational Points.” <i>Arithmetic and Geometry</i>, Cambridge University Press, 2015, pp. 89–113, doi:<a href=\"https://doi.org/10.1017/CBO9781316106877.009\">10.1017/CBO9781316106877.009</a>.","apa":"Browning, T. D. (2015). A survey of applications of the circle method to rational points. In <i>Arithmetic and Geometry</i> (pp. 89–113). Cambridge University Press. <a href=\"https://doi.org/10.1017/CBO9781316106877.009\">https://doi.org/10.1017/CBO9781316106877.009</a>"},"publication_status":"published"}