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@article{407032,
author = {Greither, Cornelius and Kučera, Radan},
article_location = {Grenoble},
article_number = {3},
keywords = {Lifted root number; Euler systems; Combinatorics; Trees},
language = {eng},
issn = {0373-0956},
journal = {Annales de l'Institut Fourier},
title = {The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems},
volume = {52},
year = {2002}
}
TY - JOUR
ID - 407032
AU - Greither, Cornelius - Kučera, Radan
PY - 2002
TI - The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems
JF - Annales de l'Institut Fourier
VL - 52
IS - 3
SP - 735
EP - 735
PB - Université Joseph Fourier Grenoble
SN - 03730956
KW - Lifted root number
KW - Euler systems
KW - Combinatorics
KW - Trees
N2 - 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.
ER -
GREITHER, Cornelius and Radan KUČERA. The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. \textit{Annales de l'Institut Fourier}. Grenoble: Université Joseph Fourier Grenoble, 2002, vol.~52, No~3, p.~735-777. ISSN~0373-0956.
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