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\(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters. (English) Zbl 0316.12007


MSC:

11R42 Zeta functions and \(L\)-functions of number fields

Citations:

Zbl 0263.10015
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References:

[1] {\scE. Artin}, Über Einheiten relative galoisscher Zahlkörper, Collected Works, 195-198.
[2] Baruer, Richard, Beziehungen zwischen klassenzahlen von teilkörpern eines galoisschen Körpers, Math. nachr., 4, 158-174, (1951) · Zbl 0042.03801
[3] Feit, Walton, Characters of finite groups, (1967), Benjamin New York · Zbl 0166.29002
[4] {\scHermann Minkowski}, Zur Theorie der Einheiten in dem algebraischen Zahlkörpern, Werke Werke, Band, {\bf1}, 316-319.
[5] Siegel, C.L, Über die fourierschen koeffizienten von modulformen, Göttinger nachr., 15-56, (1970) · Zbl 0225.10031
[6] {\scH. M. Stark}, Class-number problems in quadratic fields in “Proc. of the 1970 International Congress,” vol. 1, pp. 511-518.
[7] Stark, H.M, Values of L-functions at s = 1, I. L-functions for quadratic forms, Advances in math., 7, 301-343, (1971) · Zbl 0263.10015
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