Bibliographie
[B] Brumer, A.: On the units of algebraic number fields. Mathematika14, 121–124 (1967)
[CF] Cassels, J., Fröhlich, A.: Algebraic number theory. London, New York: Academic Press 1967
[CG] Charkani el Hassani, M., Gillard, R.: Unités et groupes de classes. Ann. Inst. Fourier36, fasc. 3, 29–41 (1986)
[F] Friedman, E.: Ideal class group in basic\(\mathbb{Z}_{p_{ 1} } \times ... \times \mathbb{Z}_{p_s } \) of abelian number fields. Invent. Math.65, 425–440 (1982)
[FW] Ferrero, B., Washington, L.: The Iwasawa invariant vanishes for abelian number fields. Ann. Math.109, 377–395 (1979)
[Gi1] Gillard, R.: Séries d'Eisenstein et critère de Kummer. Sém. Th. nombres, Paris, 1981–1982, p. 59–72. Boston, Basel, Stuttgart: Birkhäuser 1983
[Gi2] Gillard, R.: FonctionsL p-adiques des corps quadratiques et de leurs extensions abéliennes. J. reine angew. Math.358, 76–91 (1985)
[GR] Gillard, R., Robert, G.: Groupes d'unités elliptiques. Bull. Soc. Math. Fr.107, 305–317 (1979)
[Gra] Gras, G.: Groupe de Galois de lap-extension abéliennep-ramifiée maximale d'un corps de nombres. J. reine angew. Math.333, 86–132 (1982)
[I1] Iwasawa, K.: On the μ invariant of ℤ l -extensions in number theory, algebraic geometry and commutative algebra. pp. 1–11. Tokyo: Kinokuniya 1973
[I2] Iwasawa, K.: OnZ l -extensions of algebraic number fields. Ann. Math.98, 246–326 (1973)
[K] Katz, N.: Divisibilities, congruences and Cartier duality. J. Fac. Soc. Univ. Tokyo28, 667–678 (1982)
[Rob1] Robert, G.: Unités elliptiques. Bull. Soc. Math. Fr. Mém.36, 77 (1973)
[Rob2] Robert, G.: Nombres de Hurwitz et unités elliptiques. Ann. Sci. Ec. Norm. Super. IV. Ser.11, 297–389 (1978)
[Ru] Rubin, K.: Congruences for special values ofL-functions of elliptic curves with Complex Multiplication. Invent. Math.71, 339–364 (1983)
[Si1] Sinnott, W.: On the μ-invariant of the Γ-tansform of a rational function. Invent. Math.75, 273–282 (1984)
[Si2] Sinnott, W.: On a theorem of L. Washington. Asterisque147–148, 209–224 (1987)
[W1] Washington, L.: The nonp-part of the class number in a cyclotomic ℤ p . Invent. Math.49, 87–97 (1978)
[W2] Washington, L.: Introduction to Cyclotomic fields. Graduate Text in Math. Berlin, Heidelberg, New York: Springer 1982
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Gillard, R. Croissance du nombre de classes dans desZ l -extensions liées aux corps quadratiques imaginaires. Math. Ann. 279, 349–372 (1988). https://doi.org/10.1007/BF01456274
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DOI: https://doi.org/10.1007/BF01456274