On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1

2012/12/06 by Akiko Ito, Ito, Akiko
Mathematics · #11R11 #11R23 #11R29 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1212.1392

openalex publication_date 2012/12/06 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime number. In this paper, we show existence of certain infinite families of imaginary quadratic fields in which p splits and whose Iwasawa λ-invariant of the cyclotomic Zp-extension is equal to 1.

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