The proportion of failures of the Hasse norm principle

Tim D Browning; Rachel Newton

doi:10.1112/S0025579315000261

The proportion of failures of the Hasse norm principle

Tim D Browning, Rachel Newton

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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258 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	337-347
Number of pages	11
Journal	Mathematika
Volume	62
Issue number	2
Early online date	22 Jan 2016
DOIs	https://doi.org/10.1112/S0025579315000261
Publication status	Published - Feb 2016

Keywords

math.NT
11G35
11R37
12G05
14G05

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10127564&fileId=S0025579315000261.
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title = "The proportion of failures of the Hasse norm principle",

abstract = "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.",

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The proportion of failures of the Hasse norm principle

Abstract

Keywords

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