Sign functions of imaginary quadratic fields and applications.

DOI10.5802/aif.2113zbMath1158.11320OpenAlexW2316265279MaRDI QIDQ1777631

Hassan Oukhaba

Publication date: 25 May 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_3_753_0

zbMATH Keywords

spectral sequencessign functionAnderson's resolutionnarrow ray class fieldordinary \(s\)-distributionsShimura reciprocity law

Mathematics Subject Classification ID

Other number fields (11R21) Complex multiplication and abelian varieties (14K22) Elliptic and modular units (11G16)

Related Items (2)

Elliptic units and sign functions ⋮ Elliptic units, indices and \(\mathbb Z_p\)-extensions

Cites Work

• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• On the Stickelberger ideal and the circular units of a cyclotomic field
• Product formulae on elliptic curves
• On the index of cyclotomic units in characteristic \(p\) and its applications
• Explicit elliptic units. I
• Epsilon extensions over global function fields
• Kronecker-Weber plus epsilon.
• Distributions on a global field
• Group cohomology of the universal ordinary distribution
• The universal ordinary distribution
• The universal norm distribution and Sinnott’s index formula
• On the torsion of the universal ordinary distribution related to a number field
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