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arXiv · 1912.01656

Explicit uniformizers for certain totally ramified extensions of the field of $p$-adic numbers

Hugues Bellemare·Antonio Lei
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Abstract

Let $p$ be an odd prime number. We construct explicit uniformizers for the totally ramified extension $\mathbb{Q}_p(\zeta_{p^2},\sqrt[p]{p})$ of the field of $p$-adic numbers $\mathbb{Q}_p$, where $\zeta_{p^2}$ is a primitive $p^2$-th root of unity.

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Hugues Bellemare, Antonio Lei. 2019-12-03. Explicit uniformizers for certain totally ramified extensions of the field of $p$-adic numbers. https://arxiv.org/abs/1912.01656

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