Zur expliziten Berechnung von Ganzheitsbasen in Strahlklassenkörpern über einem imaginär-quadratischen Zahlkörper. (On the explicit calculation of integral bases in ray class fields over an imaginary quadratic number field)
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Publication:913858
DOI10.1016/0022-314X(90)90051-RzbMath0701.11059MaRDI QIDQ913858
Publication date: 1990
Published in: Journal of Number Theory (Search for Journal in Brave)
ray class fieldsHilbert class fieldintegral idealexplicit constructionimaginary quadratic number fieldrelative integral basisnormalized values of the Weierstrass \({\mathcal P}\)-function
Related Items (12)
Problèmes de construction en multiplication complexe ⋮ On the generalized principal ideal theorem of complex multiplication ⋮ Monogénéité de l'anneau des entiers de corps de classes de rayon de corps quadratiques ⋮ Construction of ray class fields by elliptic units ⋮ Weber's class invariants revisited ⋮ Über die Nenner normierter Teilwerte der Weierstraßschen \(\wp\)- Funktion. (On the denominators of normed partial values of the Weierstraß \(\wp\)-function) ⋮ Computing class fields via the Artin map ⋮ Constructing elliptic curves over finite fields using double eta-quotients ⋮ A survey of computational class field theory ⋮ An elliptic resolvent ⋮ Global construction of associated orders in complex multiplication ⋮ On the capitulation in the genus field of an abelian extension of an imaginary quadratic field
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