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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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