Computing ray class groups, conductors and discriminants

DOI10.1090/S0025-5718-98-00912-0zbMath0929.11064OpenAlexW2039576867MaRDI QIDQ4383193

Francisco Diaz y Diaz, Michel Olivier, Henri Cohen

Publication date: 24 March 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-98-00912-0

zbMATH Keywords

conductorsdiscriminantsray class groupsclass field computationsinvariants of number fields

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37)

Related Items (14)

Tables of octic fields with a quartic subfield ⋮ Constructing complete tables of quartic fields using Kummer theory ⋮ Computing the multiplicative group of residue class rings ⋮ Real-dihedral harmonic Maass forms and CM-values of Hilbert modular functions ⋮ Polynomial factorization algorithms over number fields ⋮ Computational Number Theory, Past, Present, and Future ⋮ On the construction of class fields ⋮ The three smallest compact arithmetic hyperbolic 5-orbifolds ⋮ Computing class fields via the Artin map ⋮ Stark's Conjectures and Hilbert's Twelfth Problem ⋮ RAY CLASS GROUPS OF QUADRATIC AND CYCLOTOMIC FIELDS ⋮ Minimal ramifications ⋮ Computing the Hilbert class field of real quadratic fields ⋮ A survey of computational class field theory

Cites Work

• Euclidean fields having a large Lenstra constant
• Factor Refinement
• A polynomial reduction algorithm
• The structure of the multiplicative group of residue classes modulo
• Hermite and Smith normal form algorithms over Dedekind domains
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
• Algorithmic methods for finitely generated Abelian groups
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