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Les constantes locales de l’équation fonctionnelle de la fonction L d’Artin d’une représentation orthogonale. (French) Zbl 0337.12012

MSC:
11R42 Zeta functions and \(L\)-functions of number fields
11S31 Class field theory; \(p\)-adic formal groups
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
20C15 Ordinary representations and characters
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References:
[1] Deligne, P.: Les constantes des ?quations fonctionnelles des fonctionsL. In: Modular functions of one variable II, Lecture Notes in Mathematics 349, pp. 501-597. Berlin-Heidelberg-New York: Springer 1973
[2] Fr?hlich, A., Queyrut, J.: On the functional equation of the ArtinL-function for characters of real representations. Inventiones math.20, 125-138 (1973) · Zbl 0256.12010 · doi:10.1007/BF01404061
[3] Serre, J-P.: Conducteurs d’Artin des caract?res r?els. Inventiones math.14, 173-183 (1971) · Zbl 0229.13006 · doi:10.1007/BF01418887
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