A survey of computational class field theory
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Publication:1809036
DOI10.5802/jtnb.235zbMath0949.11063OpenAlexW2317648812MaRDI QIDQ1809036
Publication date: 14 August 2000
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_1_1_0
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Complex multiplication and moduli of abelian varieties (11G15) Algebraic number theory computations (11Y40) Class field theory (11R37)
Related Items (3)
On the construction of class fields ⋮ Minimal ramifications ⋮ Constructing abelian extensions with prescribed norms
Cites Work
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- Euclidean fields having a large Lenstra constant
- 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)
- Subexponential algorithms for class group and unit computations
- Construction of ray class fields by elliptic units
- Class invariants by Shimura's reciprocity law
- Computing class fields via the Artin map
- Explicit Bounds for Primality Testing and Related Problems
- A polynomial reduction algorithm
- The structure of the multiplicative group of residue classes modulo
- Subgroup lattices and symmetric functions
- On the singular values of Weber modular functions
- Computing ray class groups, conductors and discriminants
- Hermite and Smith normal form algorithms over Dedekind domains
- Computing the Hilbert class field of real quadratic fields
- Problèmes de construction en multiplication complexe
- Algorithmic methods for finitely generated Abelian groups
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