References
Armitage, J. V.: On a theorem of Hecke in number fields and function fields. Inventiones math.2, 238–246 (1967).
Cassels, J. W. S., Fröhlich, A. (eds.): Algebraic number theory. London and New York: Academic Press 1967.
Curtis, C., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Wiley 1966.
Fröhlich, A.: Some topics in the theory of module conductors. Oberwolfach reports,2, 59–82 (1965).
Hasse, H.: Zur Theorie der abstrakten elliptischen Funktionenkörper III. Journ. f. Math.175, 193–208 (1936).
Hasse, H.: Artinsche Führer, ArtinscheL-Funktionen und Gausssche Summen. Acta Salmanticensia, Ciencias: Sec. Mat. 1954.
Lamprecht, E.: Allgemeine Theorie der Gausschen Summen in endlichen kommutativen Ringen. Math. Nachr.9, 150–196 (1953).
Lang, S.: Algebraic number theory. Reading, Mass: Addison-Wesley 1970
Serre, J.-P.: Corps Locaux (deuxième édition). Paris: Hermann 1968.
Serre, J.-P.: Représentations Linéaires des Groupes Finis. Paris: Hermann 1967.
Serre, J.-P.: Conducteurs d'Artin des caractères réels. Inventiones math.14, 173–183 (1971).
Weil, A.: Dirichlet series and automorphic forms. Lecture Notes in Mathematics189, Berlin-Heidelberg-New York: Springer 1971.
Weil, A.: Numbers of solutions of equations in finite fields. Bull. Amer. Math. Soc.55, 497–508 (1949).
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Armitage, J.V. Zeta functions with a zero ats=1/2. Invent Math 15, 199–205 (1971). https://doi.org/10.1007/BF01404125
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DOI: https://doi.org/10.1007/BF01404125