{"date_published":"2015-08-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"89 - 113","publisher":"Cambridge University Press","year":"2015","status":"public","day":"01","citation":{"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.","short":"T.D. Browning, in:, Arithmetic and Geometry, 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>.","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>","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>","ista":"Browning TD. 2015.A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. , 89–113.","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>."},"date_created":"2018-12-11T11:45:28Z","month":"08","publication":"Arithmetic and Geometry","publication_status":"published","oa_version":"None","abstract":[{"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.","lang":"eng"}],"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Browning, Timothy D"}],"doi":"10.1017/CBO9781316106877.009","_id":"258","title":"A survey of applications of the circle method to rational points","quality_controlled":"1","language":[{"iso":"eng"}],"publist_id":"7644","date_updated":"2021-01-12T06:58:22Z","type":"book_chapter","extern":"1"}