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The proportion of failures of the Hasse norm principle

Number Theory 2016-01-27 v1

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.

Keywords

Cite

@article{arxiv.1411.7775,
  title  = {The proportion of failures of the Hasse norm principle},
  author = {Tim Browning and Rachel Newton},
  journal= {arXiv preprint arXiv:1411.7775},
  year   = {2016}
}

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12 pages