Normal bases of ray class fields over imaginary quadratic fields

DOI10.1007/S00209-011-0854-2zbMath1279.11061arXiv1007.2312OpenAlexW2594045820MaRDI QIDQ431281

Dong Hwa Shin, Ja Kyung Koo, Ho Yun Jung

Publication date: 26 June 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2312

zbMATH Keywords

modular functionsnormal basesclass fields

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Algebraic number theory computations (11Y40) Class field theory (11R37) Elliptic and modular units (11G16)

Related Items (4)

Completely normal elements in some finite abelian extensions ⋮ Application of Weierstrass units to relative power integral bases ⋮ Unnamed Item ⋮ NORMAL BASES FOR MODULAR FUNCTION FIELDS

Cites Work

• Ray class invariants over imaginary quadratic fields
• On some arithmetic properties of Siegel functions
• Relative Galois module structure of rings of integers and elliptic functions. II
• Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)
• Construction of ray class fields by elliptic units
• Class invariants by Shimura's reciprocity law
• Some applications of Kronecker's limit formulas
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• Normal Bases of Class Fields over Gauss' Number Field
• Construction of a normal basis by special values of Siegel modular functions
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