Kummer theory for multiquadratic or quartic cyclic number fields

DOI10.2478/udt-2022-0017OpenAlexW4311796133MaRDI QIDQ2103491

Flavio Perissinotto, Antonella Perucca

Publication date: 13 December 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/udt-2022-0017

zbMATH Keywords

cyclotomic fieldKummer theoryKummer extensionmultiquadratic number fieldcubic number fieldquartic cyclic number field

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)

Uses Software

• SageMath

Cites Work

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• Reductions of algebraic integers
• The order of the reductions of an algebraic integer
• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
• Abelian binomials, power residues and exponential congruences
• The degree of Kummer extensions of number fields
• EXPLICIT KUMMER THEORY FOR QUADRATIC FIELDS
• EXPLICIT KUMMER GENERATORS FOR CYCLOTOMIC EXTENSIONS
• Explicit Kummer theory for the rational numbers
• Kummer theory for number fields and the reductions of algebraic numbers

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