On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\)

DOI10.1007/s11139-023-00768-4arXiv2211.04138OpenAlexW4386370752MaRDI QIDQ6144578

Lhoussain El Fadil, Omar Kchit

Publication date: 29 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.04138

zbMATH Keywords

Newton polygonpower integral basismonogenicprime ideal factorizationtheorem of Oreindex of a number fieldtheorem of Dedekind

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b

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