Local Artin root numbers associated to some classical polynomials

DOI10.1016/0021-8693(90)90202-YzbMath0704.11042OpenAlexW1981744693MaRDI QIDQ916709

Núria Vila

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90202-y

zbMATH Keywords

Galois representationWitt classesHilbert polynomialsexponential Taylor polynomialslocal Artin root numbersWeil's additive characters

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Zeta functions and (L)-functions (11S40)

Related Items (1)

A Bezoutian approach to orthogonal decompositions of trace forms or integral trace forms of some classical polynomials

Cites Work

• Unnamed Item
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
• On the Galois groups of the exponential Taylor polynomials
• Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
• Sur certains groupes d'opérateurs unitaires
• On the Analytic Determination of the Trace Form
• The Additive Characters of the Witt Ring of an Algebraic Number Field

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