Research output: Contribution to journal › Article › peer-review

Journal | Duke Mathematical Journal |
---|---|

Date | Published - 2014 |

Issue number | 10 |

Volume | 163 |

Pages (from-to) | 1825-1883 |

Original language | English |

A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.

47 pages; numerous minor changes. (c) 2014. This is an author produced version of a paper accepted for publication in Duke Mathematical Journal. Uploaded in accordance with the publisher's self-archiving policy.

- math.NT, 11P55 (Primary) 11D72, 14G05 (Secondary)

## Programme Grant-New Frameworks in metric Number Theory

Project: Research project (funded) › Research

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