## Abstract

A finiteness phenomenon described by Loxton and later by Kedlaya states that, for any fixed m, there exist (modulo multiplication by roots of unity) only finitely many m-Weil numbers in ℚ^{ab}. In the present paper we show that this phenomenon extends to all finite extensions of ℚ^{ab}.

Original language | English (US) |
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Pages (from-to) | 4359-4376 |

Number of pages | 18 |

Journal | Transactions of the American Mathematical Society |

Volume | 367 |

Issue number | 6 |

State | Published - 2015 |

## Keywords

- Cyclotomic fields
- Weil numbers

## ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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