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

被引：1

作者：

Bellemare, Hugues ^{[1
]}

Lei, Antonio ^{[2
]}

机构：

[1] McGill Univ, Dept Math & Stat, 805 Sherbrooke St West, Montreal, PQ H3A 0B9, Canada

[2] Univ Laval, Dept Math & Stat, Pavill Alexandre Vachon,1045 Ave Med, Quebec City, PQ G1V 0A6, Canada

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2020年 / 90卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Local p-adic fields; Explicit uniformizers; Totally ramified extensions;

D O I：

10.1007/s12188-020-00215-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be an odd prime number. We construct explicit uniformizers for the totally ramified extension Qp(zeta p2,pp) of the field of p-adic numbers Q(p), where zeta p2 is a primitive p(2)-th root of unity.

引用

页码：73 / 83

页数：11

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