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Formulations de la conjecture de Leopoldt et étude d’une condition suffisante. (French) Zbl 0396.12008


MSC:

11R20 Other abelian and metabelian extensions
11R42 Zeta functions and \(L\)-functions of number fields

Citations:

Zbl 0382.12005
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References:

[1] E. Artin etJ. Tate, “Class-field theory” Benjamin 1967. · Zbl 1179.11040
[2] Bertrandias, F.; Payan, J. J., “Γ-extensions et invariants cyclotomiques”, Annales Scient. Ec. Norm. Sup. 4e série t., 5, 517-517 (1972) · Zbl 0246.12005
[3] Brumer, A., “On the units of algebraic number fields”, Mathematika, 14, 121-124 (1967) · Zbl 0171.01105 · doi:10.1112/S0025579300003703
[4] J. W. S. Cassels etA. Fröhlich, “Algebraic Number Theory”. Academic Press (1967). · Zbl 0153.07403
[5] Greenberg, R., “On a certainl-Adic Representation”, Inventiones math., 21, 117-124 (1973) · Zbl 0268.12004 · doi:10.1007/BF01389691
[6] K. Iwasawa, “On ℤi-extensions of algebraic fields”. Annals of Math. Vol.98 no 2 sept. 73, 246-326. · Zbl 0285.12008
[7] L. V. Küzmin, “The Tate Module for algebraic Number Fields”. Izv. Akad. Nauk. SSR. ser Mat. Tom.36 (1972) no 2 et Math. USSR Izvestija, Vol. 6 (1972) no 2. · Zbl 0231.12013
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