Nonmonogenity of number fields defined by trinomials

zbMath1493.11146MaRDI QIDQ2140548

Anuj Jakhar

Publication date: 23 May 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2022/28-26.html

zbMATH Keywords

Newton polygonpower basismonogenitynon-monogenity

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Integral bases and monogenity of pure fields
• On a theorem of Ore
• 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 nonmonogenic number fields defined by
• On monogenity of certain pure number fields defined by xpr − m
• Diophantine Equations and Power Integral Bases
• Newton polygons of higher order in algebraic number theory

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