Class number and fundamental units of certain pure cubic fields

Authors

  • Jamal Benamara Department of Mathematics, Faculty of Sciences, Mohammed First University

DOI:

https://doi.org/10.5269/bspm.66679

Abstract

Let $K_{m\pm}=\mathbb{Q}(\sqrt[3]{m^3\pm1})$ be a pure cubic number field. We prove that the class number of $K_{m\pm}$ is a multiple of $3$ for $m\geq2$ and we find the fundamental unit of $K_{m\pm}$.

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Published

2025-02-02

Issue

Section

Research Articles