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arxiv: 1212.6621 · v1 · pith:56KJFLWRnew · submitted 2012-12-29 · 🧮 math.NT

Application of Weierstrass units to relative power integral bases

classification 🧮 math.NT
keywords basesintegralmathbbpowerrelativesqrtunitsweierstrass
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Let $K$ be an imaginary quadratic field other than $\mathbb{Q}(\sqrt{-1})$ and $\mathbb{Q}(\sqrt{-3})$. We construct relative power integral bases between certain abelian extensions of $K$ in terms of Weierstrass units.

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