Gillard, Roland Remarques sur les unités cyclotomiques et les unités elliptiques. (French) Zbl 0405.12008 J. Number Theory 11, 21-48 (1979). Reviewer: Roland Gillard (Saint-Martin-d’Hères) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 20 Documents MSC: 11R27 Units and factorization 11R20 Other abelian and metabelian extensions 11R29 Class numbers, class groups, discriminants 11G16 Elliptic and modular units Keywords:abelian extension; class number; group of units; group of cyclotomic units; imaginary quadratic field Citations:Zbl 0395.12014 PDFBibTeX XMLCite \textit{R. Gillard}, J. Number Theory 11, 21--48 (1979; Zbl 0405.12008) 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) 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.