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The simplest cubic fields. (English) Zbl 0307.12005


MSC:

11R16 Cubic and quartic extensions
11R18 Cyclotomic extensions
11R23 Iwasawa theory
11R42 Zeta functions and \(L\)-functions of number fields
11R80 Totally real fields
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[17] Helmut Hasse, Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkörpern, Abh. Deutsch. Akad. Wiss. Berlin. Math.-Nat. Kl. 1948 (1948), no. 2, 95 pp. (1950) (German). · Zbl 0035.30502
[18] MARIE-NICOLE MONTOUCHET, Sur le Nombre de Classes du Sous-Corps Cubique de \( {Q^{(p)}}(p \equiv 1(3))\), Thesis, Grenoble, 1971. · Zbl 0244.12005
[19] Marie-Nicole Gras, Méthodes et algorithmes pour le calcul numérique du nombre de classes et des unités des extensions cubiques cycliques de \?, J. Reine Angew. Math. 277 (1975), 89 – 116 (French). · Zbl 0315.12007
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