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 |
DOIs | |
State | Published - 2015 |
Keywords
- Cyclotomic fields
- Weil numbers
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics