Publication details

The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems

Authors

GREITHER Cornelius KUČERA Radan

Year of publication 2002
Type Article in Periodical
Magazine / Source Annales de l'Institut Fourier
MU Faculty or unit

Faculty of Science

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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