Displaying similar documents to “Special values of L -functions attached to X 1 ( N )

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

Cornelius Greither, Radiu Kučera (2002)

Annales de l’institut Fourier


The so-called Lifted Root Number Conjecture is a strengthening of Chinburg’s Ω ( 3 ) - conjecture for Galois extensions K / F of number fields. It is certainly more difficult than the Ω ( 3 ) -localization. Following the lead of Ritter and Weiss, we prove the Lifted Root Number Conjecture for the case that F = and the degree of K / F is an odd prime, with another small restriction on ramification. The very explicit calculations with cyclotomic units use trees and some classical combinatorics for bookkeeping....