On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p) II

Takashi Fukuda; Keiichi Komatsu

doi:10.7169/facm/2014.51.1.9

On the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of ℚ(√p) II

Takashi Fukuda, Keiichi Komatsu

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

In the preceding papers, we studied the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of ℚ (√p ) for an odd prime number p using certain units and the invariants n₀ ^(r)and n₂. In the present paper, we develop new criteria for Greenberg conjecture using n₀ ^(r)and n₂.

Original language	English
Pages (from-to)	167-179
Number of pages	13
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	51
Issue number	1
DOIs	https://doi.org/10.7169/facm/2014.51.1.9
Publication status	Published - 2014 May 1

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Keywords

Cyclotomic unit
Iwasawa invariant
Real quadratic field

ASJC Scopus subject areas

Mathematics(all)

Cite this

Fukuda, T., & Komatsu, K. (2014). On the Iwasawa λ-invariant of the cyclotomic ℤ₂-extension of ℚ(√p) II. Functiones et Approximatio, Commentarii Mathematici, 51(1), 167-179. https://doi.org/10.7169/facm/2014.51.1.9

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10.7169/facm/2014.51.1.9