An infinite families of number fields with fixed indices arising from quintinomials of type \(x^n+ax^m+bx^2+cx+d\)

MaRDI QIDQ6635599

Omar Kchit

Publication date: 12 November 2024

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

zbMATH Keywords

Newton polygonprime ideal factorizationtheorem of Oreindex of a number field

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 non-monogenity of certain quintic number fields defined by x⁵ + ax^m + bx + c
• On the index of certain nonic number fields defined by \(x^9+ax^5+b\)

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