{"_id":"262","doi":"10.1112/S0025579315000261","month":"01","issue":"2","title":"The proportion of failures of the Hasse norm principle","citation":{"short":"T.D. Browning, R. Newton, Mathematika 62 (2016) 337–347.","apa":"Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579315000261","ama":"Browning TD, Newton R. The proportion of failures of the Hasse norm principle. Mathematika. 2016;62(2):337-347. doi:10.1112/S0025579315000261","ista":"Browning TD, Newton R. 2016. The proportion of failures of the Hasse norm principle. Mathematika. 62(2), 337–347.","mla":"Browning, Timothy D., and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.” Mathematika, vol. 62, no. 2, Cambridge University Press, 2016, pp. 337–47, doi:10.1112/S0025579315000261.","chicago":"Browning, Timothy D, and Rachel Newton. “The Proportion of Failures of the Hasse Norm Principle.” Mathematika. Cambridge University Press, 2016. https://doi.org/10.1112/S0025579315000261.","ieee":"T. D. Browning and R. Newton, “The proportion of failures of the Hasse norm principle,” Mathematika, vol. 62, no. 2. Cambridge University Press, pp. 337–347, 2016."},"type":"journal_article","publisher":"Cambridge University Press","oa":1,"volume":62,"publication_status":"published","acknowledgement":"While working on this paper the first author was supported by ERC grant 306457.","author":[{"full_name":"Timothy Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"},{"full_name":"Newton, Rachel","first_name":"Rachel","last_name":"Newton"}],"extern":1,"publist_id":"7640","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1411.7775"}],"page":"337 - 347","intvolume":" 62","publication":"Mathematika","date_updated":"2021-01-12T06:58:37Z","status":"public","date_created":"2018-12-11T11:45:29Z","abstract":[{"lang":"eng","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."}],"year":"2016","day":"22","quality_controlled":0,"date_published":"2016-01-22T00:00:00Z"}