On nonmonogenic number fields defined by

DOI10.4153/S0008439521000825zbMath1506.11135OpenAlexW3201541924MaRDI QIDQ5099405

Anuj Jakhar, Surender Kumar

Publication date: 31 August 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439521000825

zbMATH Keywords

Newton polygonpower basismonogenitynonmonogenity

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04)

Related Items (12)

On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ On non-monogenity of the number fields defined by certain quadrinomials ⋮ Non-monogenity of certain octic number fields defined by trinomials ⋮ Nonmonogenity of number fields defined by trinomials ⋮ On monogenity of certain number fields defined by \(x^8+ax+b\) ⋮ On the index divisors and monogenity of number fields defined by x ⁵ + ax ³ + b ⋮ A note on non-monogenity of number fields arised from sextic trinomials ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On nonmonogenic algebraic number fields ⋮ On common index divisor and monogenity of certain number fields defined by trinomials X⁶ + AX + B ⋮ On index and monogenity of certain number fields defined by trinomials ⋮ Common index divisor of the number fields defined by

Cites Work

• Unnamed Item
• Integral bases and monogenity of pure fields
• On prolongations of valuations via Newton polygons and liftings of polynomials
• On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients
• On certain pure sextic fields related to a problem of Hasse
• On the indices of multiquadratic number fields
• Power Integral Bases in Orders of Composite Fields
• Index form equations in sextic fields: a hard computation
• On monogenity of certain pure number fields defined by xpr − m
• Diophantine Equations and Power Integral Bases

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