Number fields with large minimal index containing quadratic subfields

DOI10.1142/S1793042118501427zbMath1437.11150OpenAlexW2803119001WikidataQ129777353 ScholiaQ129777353MaRDI QIDQ4683193

Henry H. Kim, Zack Wolske

Publication date: 20 September 2018

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

Full work available at URL: https://doi.org/10.1142/s1793042118501427

zbMATH Keywords

index formsminimal index of number fields

Mathematics Subject Classification ID

Other number fields (11R21) Minima of forms (11H50) Multiplicative and norm form equations (11D57)

Related Items (2)

Minimal index of bicyclic biquadratic number fields ⋮ An effective version of the primitive element theorem

Cites Work

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• On the minimum index of a cyclic quartic field
• Establishing the minimal index in a parametric family of bicyclic biquadratic fields
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• Simplest cubic fields
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• Minimal indices of pure cubic fields
• Power integral bases in a family of sextic fields with quadratic subfields
• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
• Power free values of polynomials
• Pure cubic fields with large minimal index
• Algebraic integers of small discriminant
• On the class-number of the maximal real subfield of a cyclotomic field.
• Integers of Biquadratic Fields

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