Geodesic
On Coefficients of Artin L Functions as Dirichlet Series
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 50-54

Voir la notice de l'article provenant de la source Cambridge University Press

The paper is motivated by a result of Ankeny [1] above Dirichlet L functions in 1952. We generalize this from Dirichlet L functions to Artin L functions of relative abelian extensions, by complementing the ingenious proof of Ankeny's theorem given by Iwasaki [4]. Moreover, we characterize Dirichlet L functions in the class of all Artin L functions in terms of coefficients as Dirichlet series.
DOI : 10.4153/CMB-1990-008-1
Mots-clés : 11R42 
Funakura, Takeo. On Coefficients of Artin L Functions as Dirichlet Series. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 50-54. doi: 10.4153/CMB-1990-008-1
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[1] 1. Ankeny, N. C., A generalization of a theorem of Suetuna on Dirichlet series, Proc. Japan Acad., 28, 389–395, (1952). Google Scholar

[2] 2. Artin, E., Collected papers, Addison-Wesley, 1965. Google Scholar

[3] 3. Frohlich, A., ed. Algebraic Number Fields, Academic Press, London, 1977. Google Scholar

[4] 4. Iwasaki, K., Simple proof of a theorem of Ankeny on Dirichlet series, Proc. Japan Acad., 28, 555–557, (1952). Google Scholar

[5] 5. Serre, J.-P., Représentations Linéaires de Groupes Finis, (deuxième édition). Hermann, Paris, 1971. Google Scholar

[6] 6. Suetuna, Z., Bemerkung uber das Produkt von L-Funktionen, Tohoku Math. J. 27, 248-257, (1926). Google Scholar

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