A note on the monogenity of some trinomials of type \(x^4 + ax^2 +b\)

DOI10.17654/0972555524016MaRDI QIDQ6551438

István Gaál

Publication date: 6 June 2024

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

zbMATH Keywords

Thue equationstrinomialspower integral basismonogeneity

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• On the resolution of index form equations in quartic number fields
• Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields
• 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
• Finiteness Theorems for Binary Forms with Given Discriminant

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