The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems
| Authors | |
|---|---|
| Year of publication | 2002 |
| Type | Article in Periodical |
| Magazine / Source | Annales de l'Institut Fourier |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Lifted root number; Euler systems; Combinatorics; Trees |
| Description | The lifted root number conjecture for tamely ramified Galois extensions of odd prime degree over the rationals is proved. The main ingredients are as follows: extracting roots of some explicit circular units of the corresponding genus field (the trees are used as a bookkeeping device) and Euler systems. |
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