Explicit elliptic units. I

DOI10.1215/S0012-7094-97-09013-XzbMath0898.11025MaRDI QIDQ1376022

Farshid Hajir, Fernando Rodriguez Villegas

Publication date: 8 November 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

imaginary quadratic fieldsDedekind eta functionGalois action on unitsheight of coefficientsminimal polynomial of elliptic units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Elliptic and modular units (11G16)

Related Items (11)

On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5 ⋮ Weber's class invariants revisited ⋮ Modularity of Galois traces of class invariants ⋮ Elliptic units and sign functions ⋮ Computing Stark units for totally real cubic fields ⋮ On the singular values of Weber modular functions ⋮ A formula for the central value of certain Hecke \(L\)-functions ⋮ Sign functions of imaginary quadratic fields and applications. ⋮ Point counting on reductions of CM elliptic curves ⋮ An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative ⋮ Generalised Weber functions

Uses Software

• ECPP

Cites Work

• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• Zur Theorie der Ringklassenkörper über imaginär-quadratischen Zahlkörpern
• Elliptic Curves and Primality Proving
• Elliptic units of cyclic unramified extensions of complex quadratic fields
• Singular Moduli (3)^†
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