On a conjecture of Morgan Ward, III
K. Kubota (1977)
Acta Arithmetica
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K. Kubota (1977)
Acta Arithmetica
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Andrzej Schinzel (1965)
Acta Arithmetica
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A. Baker (1967)
Acta Arithmetica
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E. Bombieri, P. B. Cohen (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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H. Davenport, Wolfgang Schmidt (1969)
Acta Arithmetica
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Cornelius Greither, Radiu Kučera (2002)
Annales de l’institut Fourier
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The so-called Lifted Root Number Conjecture is a strengthening of Chinburg’s - conjecture for Galois extensions of number fields. It is certainly more difficult than the -localization. Following the lead of Ritter and Weiss, we prove the Lifted Root Number Conjecture for the case that and the degree of 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....
Michael A. Bean (1994)
Compositio Mathematica
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