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

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2020-05-20 DOI:10.1007/s12188-020-00215-x

Hugues Bellemare, Antonio Lei

引用次数: 2

Abstract

Let p be an odd prime number. We construct explicit uniformizers for the totally ramified extension \({\mathbb {Q}}_p(\zeta _{p^2},\root p \of {p})\) 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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p-adic数域的某些完全分枝扩展的显式一致化器

设p是一个奇数素数。我们为p-adic数域（｛\mathbb｛Q｝｝_p）的全分枝扩展（｛\ mathbb｛Q}｝_pr（\ zeta _｛p^2｝，\ root p\ of｛p｝）\）构造了显式一致化器，其中\（\ zetta _｛p ^2｝\）是单位的原始根。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.