Martinet, Jacques Tours de corps de classes et estimations de discriminants. (French) Zbl 0369.12007 Invent. Math. 44, 65-73 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 40 Documents MSC: 11R23 Iwasawa theory 11R80 Totally real fields × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Artin, E., Tate, J.: Class Field Theory, Harvard, 1961 [2] Golod, E.S., ?afarevi?, I.R.: Sur les tours de corps de classes (en russe). Isvestia Akad. Nauk, S.S.S.R., Ser. Math.28, 261-272 (1964) [3] Kisilewski, H.: Some results related to Hilbert’s theorem 94. J. Number Theory2, 199-206 (1970) · Zbl 0216.04701 · doi:10.1016/0022-314X(70)90020-X [4] Koch, H., Venkov, B.B.: Über denp-Klassenkörperturm eines imaginär-quadratischen Zahlkörpers. Astérisque24-25, 57-67 (1975) · Zbl 0335.12021 [5] Mennicke J.: Einige endliche Gruppen mit drei Erzeugenden und drei Relationen. Arch. Math.10, 409-418 (1959) · Zbl 0089.01405 · doi:10.1007/BF01240820 [6] Poitou, G.: Minorations de discriminants (d’après A.M. Odlyzko). Sém. Bourbaki (février 1976), exposé 479 [7] Roquette, P.: On class field towers, in J. W. S. Cassels and A. Fröhlich, Algebraic Number Theory, p. 231-249. New York, London: Academic Press 1967 [8] Scholtz, A., Taussky, O.: Die Hauptideale der kubischen Klassenkörper imaginär-quadratischer Zahlkörper. J. reine angew. Math.171, 19-41 (1934) · Zbl 0009.10202 [9] Serre, J.-P.: Corps locaux, deuxième édition. Paris: Hermann 1968 [10] Serre, J.-P.: Conomologie galoisienne 4ème éd., Lecture Notes in Maths, no 5. Berlin-Heidelberg-New York: Springer 1973 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.