ON THE MONOGENITY OF TOTALLY COMPLEX PURE SEXTIC FIELDS

DOI10.17654/0972555523006MaRDI QIDQ6170195

István Gaál

Publication date: 15 August 2023

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Thue equationspower integral basismonogenitypure sextic fieldscalculating the solutions

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Integral bases and monogenity of pure fields
• The Magma algebra system. I: The user language
• On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients
• Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9
• On the resolution of relative Thue equations
• Diophantine Equations and Power Integral Bases
• Calculating “Small” Solutions of Relative Thue Equations

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