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On the Analytic Determination of the Trace Form

Published online by Cambridge University Press:  20 November 2018

Robert Perlis
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Abstract

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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.

Keywords

10C02
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 4 , 01 December 1985 , pp. 422 - 430
Copyright
Copyright © Canadian Mathematical Society 1985

References

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