Geodesic
On the Analytic Determination of the Trace Form
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 422-430

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DOI

The Dedekind zeta function of an algebraic number field E determines the rational equivalence class of the trace form of E. The Hasse symbols of the trace form are related to the local Artin root numbers of the zeta function by formulas of Serre and Deligne. This is used to settle the question of which families of complex numbers appear as the local Artin root numbers of a continuous real representation of the absolute Galois group of Q.
DOI : 10.4153/CMB-1985-051-2
Mots-clés : 10C02 
On the Analytic Determination of the Trace Form. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 422-430. doi: 10.4153/CMB-1985-051-2
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     doi = {10.4153/CMB-1985-051-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-051-2/}
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