Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields

DOI10.1007/s44146-023-00081-yarXiv2103.00444OpenAlexW3134606698MaRDI QIDQ6111851

István Gaál

Publication date: 4 August 2023

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00444

zbMATH Keywords

power integral basistotally real fieldsmonogenitysimplest quartic fieldscalculating the solutions

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Computing elements of given index in totally complex cyclic sextic fields
• Power integral bases in a family of sextic fields with quadratic subfields
• Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields
• Power Integral Bases in Composits of Number Fields
• Monogenity in totally complex sextic fields, revisited
• Diophantine Equations and Power Integral Bases
• Totally real Thue inequalities over imaginary quadratic fields
• Integral Bases and Monogenity of Composite Fields
• Power Integral Bases in the Family of Simplest Quartic Fields

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