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- W4383860230 abstract "In this paper, for any nonic number field $K$ generated by a root $alpha$ of a monic irreducible trinomial $F(x)=x^9+ax+b in mathbb{Z}[x]$ and for every rational prime $p$, we characterize when $p$ divides the index of $K$. We also describe the prime power decomposition of the index $i(K)$. In such a way we give a partial answer of Problem $22$ of Narkiewicz (cite{Nar}) for this family of number fields. In particular if $i(K)neq 1$, then $K$ is not mongenic. We illustrate our results by some computational examples." @default.
- W4383860230 created "2023-07-11" @default.
- W4383860230 creator A5037896554 @default.
- W4383860230 date "2023-07-06" @default.
- W4383860230 modified "2023-09-27" @default.
- W4383860230 title "On the index divisors and monogenity of certain nonic number fields" @default.
- W4383860230 doi "https://doi.org/10.48550/arxiv.2307.03284" @default.
- W4383860230 hasPublicationYear "2023" @default.
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