On unit power integral bases of \(\mathbb Z[\root 4 \of {m}]\)

DOI10.1007/s10998-011-7101-9zbMath1265.11098OpenAlexW2013935820MaRDI QIDQ663103

Volker Ziegler

Publication date: 13 February 2012

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

Full work available at URL: https://doi.org/10.1007/s10998-011-7101-9

zbMATH Keywords

quartic fieldsadditive unit structureunit sum number

Mathematics Subject Classification ID

Units and factorization (11R27) Thue-Mahler equations (11D59) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Algebraic numbers; rings of algebraic integers (11R04)

Uses Software

• Magma

Cites Work

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• On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1
• Power Integral Bases in Orders of Composite Fields
• Integers Expressible as Sums of Distinct Units
• On the unit sum number of some rings
• Sums of Distinct Divisors and Sums of Distinct Units

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