An elliptic resolvent

DOI10.1006/JNTH.1998.2369zbMath0953.11034OpenAlexW1965492933MaRDI QIDQ1293127

Reinhard Schertz

Publication date: 26 January 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2369

zbMATH Keywords

Galois module structureexplicit Galois generatorexplicit generators for Kummer orders

Mathematics Subject Classification ID

Units and factorization (11R27) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (4)

On the generalized principal ideal theorem of complex multiplication ⋮ An explicit factorization formula for the singular values of \(\varphi \) and the generalized principal ideal theorem ⋮ Global construction of associated orders in complex multiplication ⋮ On the capitulation in the genus field of an abelian extension of an imaginary quadratic field

Cites Work

• Unnamed Item
• 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)
• Elliptic curves with complex multiplication and Galois module structure
• Elliptic functions and rings or integers
• Mordell-Weil groups and the Galois module structure of rings of integers
• Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)
• Lubin-Tate formal groups and module structure over Hopf orders
• Konstruktion von Potenzganzheitsbasen in Strahlklassenkörpern über imaginär-quadratischen Zahlkörpern.

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