On the iwasawa λ-invariant of the cyclotomic z2-extension of a real quadratic field

Takashi Fukuda; Keiichi Komatsu

doi:10.3836/tjm/1244208291

On the iwasawa λ-invariant of the cyclotomic z₂-extension of a real quadratic field

Takashi Fukuda, Keiichi Komatsu

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We study the λ-invariant of the cyclotomic Z₂-extension of [Math equation] with p ≡ 3 (mod 8), q ≡ 1 (mod 8) and (q/p) = −1. With further conditions on q, we show that λ-invariant is zero.

Original language	English
Pages (from-to)	259-264
Number of pages	6
Journal	Tokyo Journal of Mathematics
Volume	28
Issue number	1
DOIs	https://doi.org/10.3836/tjm/1244208291
Publication status	Published - 2005 Jan 1

Keywords

Iwasawa invariants

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3836/tjm/1244208291

Cite this

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abstract = "We study the λ-invariant of the cyclotomic Z2-extension of [Math equation] with p ≡ 3 (mod 8), q ≡ 1 (mod 8) and (q/p) = −1. With further conditions on q, we show that λ-invariant is zero.",

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