Explicit Kummer theory for the rational numbers

DOI10.1142/S1793042120501146zbMath1480.11140OpenAlexW3034995605WikidataQ114071946 ScholiaQ114071946MaRDI QIDQ5140302

Antonella Perucca, Pietro Sgobba, Sebastiano Tronto

Publication date: 15 December 2020

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

Full work available at URL: https://doi.org/10.1142/s1793042120501146

zbMATH Keywords

number fieldsKummer theorydegreecyclotomic fields

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Cyclotomic extensions (11R18)

Related Items (5)

EXPLICIT KUMMER THEORY FOR QUADRATIC FIELDS ⋮ Kummer theory for number fields via entanglement groups ⋮ Unified treatment of Artin-type problems ⋮ The degree of Kummer extensions of number fields ⋮ Kummer theory for multiquadratic or quartic cyclic number fields

Uses Software

• GitHub

Cites Work

• Reductions of algebraic integers
• Addendum to: ``Reductions of algebraic integers
• Abelian binomials, power residues and exponential congruences
• Kummer theory for number fields and the reductions of algebraic numbers

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