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Remarques sur les unités cyclotomiques et les unités elliptiques. (French) Zbl 0405.12008


MSC:

11R27 Units and factorization
11R20 Other abelian and metabelian extensions
11R29 Class numbers, class groups, discriminants
11G16 Elliptic and modular units

Citations:

Zbl 0395.12014
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Full Text: DOI

References:

[1] Gillard, R., Unités cyclotomiques, unités semi-locales et \(Z_i\)-extensions, Bull. Soc. Math. France, 107 (1979) · Zbl 0387.12002
[2] R. Gillard et G. Robert; R. Gillard et G. Robert
[3] Gras, G., Application de la notion de ϕ-objet à l’étude du groupe des classes d’idéaux des extensions abéliennes, Publ. Math. Fac. Sci. Besançon, fasc. 2, 1-100 (1975-1976)
[4] Hasse, H., (Über die Klassenzahl abelscher Zahlkörper (1952), Akademie-Verlag: Akademie-Verlag Berlin) · Zbl 0063.01966
[5] Iwasawa, K., (Lectures on \(p\)-Adic \(L\) Functions (1972), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J), Annals of Mathematical Studies No. 74 · Zbl 0202.33102
[6] Kuroda, S., Über die Klassenzahlen algebraischer Zahlkörper, Nagoya Math. J., 1, 1-10 (1950) · Zbl 0037.16101
[7] Leopoldt, H., Über Einheitengruppe und Klassenzahl reeller abelscher Zahlkörper, Abh. Deutsche Akad. Wiss. Berlin Kl. Math. Phys. Tech., 2, 3-48 (1954) · Zbl 0059.03501
[8] Robert, G., Unités elliptiques, Bull. Soc. Math. France, 36 (1973)
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