Groupes d'unités elliptiques

DOI10.24033/bsmf.1899zbMath0434.12003OpenAlexW2585815908MaRDI QIDQ3872549

Gilles F. Robert, Roland Gillard

Publication date: 1979

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1979__107__305_0

zbMATH Keywords

Galois groupideal class numberHilbert class fieldunit groupelliptic unitabelian extension of imaginary quadratic field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Elliptic and modular units (11G16)

Related Items (11)

Elliptic units and genus theory ⋮ A new construction of \({\mathfrak p}\)-adic L-functions attached to certain elliptic curves with complex multiplication ⋮ Algebraic number fields ⋮ Growth of class numbers in \({\mathbb{Z}}_{\ell}\)-extensions connected with imaginary quadratic fields ⋮ Unnamed Item ⋮ Congruences entre séries d'Eisenstein, dans le cas supersingulier ⋮ Caracteres exceptionnels ⋮ A $p$-adic Stark conjecture in the rank one setting ⋮ Jacobi form and distribution formulas ⋮ Unites elliptiques et unites cyclotomiques ⋮ A result on the Siegel-Ramachandra class invariant over imaginary quadratic fields

Cites Work

• On the Stickelberger ideal and the circular units of a cyclotomic field
• Remarques sur les unites cyclotomiques et les unites elliptiques
• Integrality Properties of the Values of Partial Zeta Functions
• Die Klassenzahl der Teilkörper abelscher Erweiterungen imaginär-quadratischer Zahlkörper. I.
• Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
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