On Iwasawa λ3-invariants of cyclic cubic fields of prime conductor

Takashi Fukuda; Keiichi Komatsu

doi:10.1090/S0025-5718-00-01284-9

On Iwasawa λ₃-invariants of cyclic cubic fields of prime conductor

Takashi Fukuda^*, Keiichi Komatsu

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

For certain cyclic cubic fields k, we verified that Iwasawa invariants λ₃(k) vanished by calculating units of abelian number field of degree 27. Our method is based on the explicit representation of a system of cyclotomic units of those fields.

Original language	English
Pages (from-to)	1707-1712
Number of pages	6
Journal	Mathematics of Computation
Volume	70
Issue number	236
DOIs	https://doi.org/10.1090/S0025-5718-00-01284-9
Publication status	Published - 2001 Oct

Keywords

Cubic field
Cyclotomic unit
Iwasawa invariant

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics
Computational Mathematics

Access to Document

10.1090/S0025-5718-00-01284-9

Cite this

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title = "On Iwasawa λ3-invariants of cyclic cubic fields of prime conductor",

abstract = "For certain cyclic cubic fields k, we verified that Iwasawa invariants λ3(k) vanished by calculating units of abelian number field of degree 27. Our method is based on the explicit representation of a system of cyclotomic units of those fields.",

keywords = "Cubic field, Cyclotomic unit, Iwasawa invariant",

author = "Takashi Fukuda and Keiichi Komatsu",

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AU - Fukuda, Takashi

AU - Komatsu, Keiichi

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AB - For certain cyclic cubic fields k, we verified that Iwasawa invariants λ3(k) vanished by calculating units of abelian number field of degree 27. Our method is based on the explicit representation of a system of cyclotomic units of those fields.

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KW - Cyclotomic unit

KW - Iwasawa invariant

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