{"intvolume":"        62","extern":1,"type":"journal_article","date_updated":"2021-01-12T06:58:37Z","publist_id":"7640","volume":62,"abstract":[{"text":"For any number field we calculate the exact proportion of rational numbers which are everywhere locally a norm but not globally a norm from the number field.","lang":"eng"}],"issue":"2","publication_status":"published","publication":"Mathematika","quality_controlled":0,"title":"The proportion of failures of the Hasse norm principle","_id":"262","main_file_link":[{"url":"https://arxiv.org/abs/1411.7775","open_access":"1"}],"author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177"},{"last_name":"Newton","first_name":"Rachel","full_name":"Newton, Rachel"}],"doi":"10.1112/S0025579315000261","month":"01","date_created":"2018-12-11T11:45:29Z","citation":{"ista":"Browning TD, Newton R. 2016. The proportion of failures of the Hasse norm principle. Mathematika. 62(2), 337–347.","chicago":"Browning, Timothy D, and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.” <i>Mathematika</i>. Cambridge University Press, 2016. <a href=\"https://doi.org/10.1112/S0025579315000261\">https://doi.org/10.1112/S0025579315000261</a>.","apa":"Browning, T. D., &#38; Newton, R. (2016). The proportion of failures of the Hasse norm principle. <i>Mathematika</i>. Cambridge University Press. <a href=\"https://doi.org/10.1112/S0025579315000261\">https://doi.org/10.1112/S0025579315000261</a>","mla":"Browning, Timothy D., and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.” <i>Mathematika</i>, vol. 62, no. 2, Cambridge University Press, 2016, pp. 337–47, doi:<a href=\"https://doi.org/10.1112/S0025579315000261\">10.1112/S0025579315000261</a>.","ama":"Browning TD, Newton R. The proportion of failures of the Hasse norm principle. <i>Mathematika</i>. 2016;62(2):337-347. doi:<a href=\"https://doi.org/10.1112/S0025579315000261\">10.1112/S0025579315000261</a>","short":"T.D. Browning, R. Newton, Mathematika 62 (2016) 337–347.","ieee":"T. D. Browning and R. Newton, “The proportion of failures of the Hasse norm principle,” <i>Mathematika</i>, vol. 62, no. 2. Cambridge University Press, pp. 337–347, 2016."},"acknowledgement":"While working on this paper the first author was supported by ERC grant 306457.","oa":1,"date_published":"2016-01-22T00:00:00Z","day":"22","publisher":"Cambridge University Press","year":"2016","status":"public","page":"337 - 347"}