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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 a 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, roč.~52, č.~3, s.~735-777. ISSN~0373-0956.
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