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A generalization of Kummer’s criterion. (English) Zbl 0269.12005

MSC:
11R42 Zeta functions and \(L\)-functions of number fields
11R18 Cyclotomic extensions
11S40 Zeta functions and \(L\)-functions
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References:
[1] Iwasawa, K.: Lectures onp-adicL-functions. Ann. Math. Studies 74, Princeton University Press, 1972
[2] Serre, J-P.: Cohomologie des groupes discrets. Ann. Math. Studies70, p. 77-169, Princeton University Press, 1971 · Zbl 0229.57016
[3] Serre, J-P.: Formes modulaires et fonctions zetap-adiques. (To appear in: Proceedings of the Antwerp Summer Institute on Modular Forms, vol. 3)
[4] Siegel, C.L.: Über die analytische Theorie der quadratischen Formen. III. Ann. of Math.38, 212-291 (1937) · Zbl 0016.01205
[5] Leopoldt, H.W.: Zur Struktur derl-Klassengruppe galoisher Zahlkörper. J. Reine Angew. Math.199, 165-174 (1958) · Zbl 0082.25402
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