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

^*この研究の対応する著者

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1707-1712
ページ数	6
ジャーナル	Mathematics of Computation
巻	70
号	236
DOI	https://doi.org/10.1090/S0025-5718-00-01284-9
出版ステータス	Published - 2001 10月

ASJC Scopus subject areas

代数と数論
応用数学
計算数学

文献へのアクセス

10.1090/S0025-5718-00-01284-9

他のファイルとリンク

引用スタイル

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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.",

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