On the 2-adic logarithm of units of certain totally imaginary quartic fields

2020/05/20 by Jianing Li, Li, Jianing
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2005.09926

openalex publication_date 2020/05/20 · openalex created_date 2020/05/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a result on the 2-adic logarithm of the fundamental unit of the field ℚ(√[4]-q) , where q≡ 3\bmod 4 is a prime. When q≡ 15\bmod 16, this result confirms a speculation of Coates-Li and has consequences for certain Iwasawa modules arising in their work.

Citations

• On Z l -Extensions of Algebraic Number Fields

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