Imaginary multiquadratic number fields with class group of exponent $3$ and $5$

DOI10.1090/mcom/3609zbMath1470.11287arXiv2004.03308OpenAlexW3094481785MaRDI QIDQ5856751

Jürgen Klüners, Toru Komatsu

Publication date: 29 March 2021

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

Full work available at URL: https://arxiv.org/abs/2004.03308

zbMATH Keywords

extended Riemann hypothesisdiscriminantgenus field

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Uses Software

• LMFDB
• Julia
• Hecke
• Nemo

Cites Work

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• A complete determination of the complex quadratic fields of class-number one
• Imaginary Abelian number fields with class number one
• On the Distribution of Class Groups of Number Fields
• Julia: A Fresh Approach to Numerical Computing
• Imaginary quadratic number fields with class groups of small exponent
• Imaginary quadratic fields with class group exponent 5
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• The Determination of the Imaginary Abelian Number Fields with Class Number One
• Kuroda's class number formula
• Class numbers of imaginary quadratic fields
• Explicit bounds for primes in residue classes
• The imaginary bicyclic biquadratic fields with class-number 1.
• Nemo/Hecke
• Linear forms in the logarithms of algebraic numbers (III)
• On the Exponent of the Ideal Class Groups of Complex Quadratic Fields

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