On the iwasawa λ-invariant of the cyclotomic Z{double-struck}2-extension of Q{double-struck}(√p)

Takashi Fukuda; Keiichi Komatsu

doi:10.1090/S0025-5718-09-02124-3

On the iwasawa λ-invariant of the cyclotomic Z{double-struck}₂-extension of Q{double-struck}(√p)

Takashi Fukuda^*, Keiichi Komatsu

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We study the Iwasawa λ-invariant of the cyclotomic Z{double-struck}₂-extension of Q{double-struck}(√p) for an odd prime number p which satisfies p ≡ 1 (mod 16) relating it to units having certain properties. We give an upper bound of λ and show λ = 0 in certain cases. We also give new numerical examples of λ = 0.

Original language	English
Pages (from-to)	1797-1808
Number of pages	12
Journal	Mathematics of Computation
Volume	78
Issue number	267
DOIs	https://doi.org/10.1090/S0025-5718-09-02124-3
Publication status	Published - 2009 Jul

Keywords

Iwasawa invariants
Real quadratic fields

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics
Computational Mathematics

Access to Document

10.1090/S0025-5718-09-02124-3

Cite this

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