On the index of certain nonic number fields defined by \(x^9+ax^5+b\)
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Publication:6576982
DOI10.1134/s2070046624020018zbMATH Open1547.11119MaRDI QIDQ6576982
Publication date: 23 July 2024
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
Newton polygonpower integral basisOre's theoremmonogenicprime ideal factorizationDedekind's theoremindex of a number field
Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)
Cites Work
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Related Items (2)
An infinite families of number fields with fixed indices arising from quintinomials of type \(x^n+ax^m+bx^2+cx+d\) ⋮ An infinite family of number fields with given indices
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