Elements with prime and small indices in bicyclic biquadratic number fields

DOI10.1007/s10998-017-0233-9zbMath1424.11153OpenAlexW2773849875MaRDI QIDQ1669687

Timea Arnóczki

Publication date: 3 September 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-017-0233-9

zbMATH Keywords

index form equationindexbicyclic biquadratic number fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Multiplicative and norm form equations (11D57)

Related Items (1)

Minimal index of bicyclic biquadratic number fields

Cites Work

• Power integral bases in algebraic number fields whose Galois groups are 2-elementary abelian
• Establishing the minimal index in a parametric family of bicyclic biquadratic fields
• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• Monogenic biquadratic fields
• On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case
• On the indices of biquadratic number fields having Galois group \(V_ 4\)
• On the indices of multiquadratic number fields
• On elements with index of the form 2a3b in a parametric family of biquadratic fields
• DETERMINING ELEMENTS OF MINIMAL INDEX IN AN INFINITE FAMILY OF TOTALLY REAL BICYCLIC BIQUADRATIC NUMBER FIELDS
• Integers of Biquadratic Fields
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