Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)

DOI10.1016/0022-314X(91)90051-CzbMath0739.11052OpenAlexW2046514487MaRDI QIDQ1179016

Reinhard Schertz

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90051-c

zbMATH Keywords

elliptic functionsimaginary quadratic fieldgroup ringring of integersintegral idealray class fieldassociated ordergenerating elements

Mathematics Subject Classification ID

Class field theory (11R37) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20) Elliptic and modular units (11G16)

Related Items (15)

Normal basis and Greenberg's conjecture ⋮ Problèmes de construction en multiplication complexe ⋮ On some arithmetic properties of Siegel functions (II) ⋮ Construction of normal bases by special values of Hilbert modular functions ⋮ Construction of ray class fields by elliptic units ⋮ Normal bases of ray class fields over imaginary quadratic fields ⋮ Swan modules and Hilbert-Speiser number fields ⋮ Picard Groups and Refined Discrete Logarithms ⋮ Lubin-Tate formal groups and module structure over Hopf orders ⋮ Jacobi forms and \(p\)-adic Weber formula ⋮ An elliptic resolvent ⋮ Global construction of associated orders in complex multiplication ⋮ On Jacobi forms, and explicit evaluations of some trigonometric sums ⋮ NORMAL BASES FOR MODULAR FUNCTION FIELDS ⋮ Galois module structure of Kummer orders and elliptic units

Cites Work

• Elliptic curves with complex multiplication and Galois module structure
• Elliptic functions and rings or integers
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• A note on Swan modules
• Modules de Swan et courbes elliptiques à multiplication complexe
• Modular functions, elliptic functions and Galois module structure.
• Konstruktion von Potenzganzheitsbasen in Strahlklassenkörpern über imaginär-quadratischen Zahlkörpern.
• Zur Arithmetik in abelschen Zahlkörpern.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)