A Class Number Problem for the Cyclotomic Z2-extension of Q(√5)

Takuya Aoki

doi:10.3836/tjm/1459367258

A Class Number Problem for the Cyclotomic Z₂-extension of Q(√5)

Takuya Aoki^*

^*この研究の対応する著者

基幹理工学部

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

Let K_n be the n-th layer of the cyclotomic Z2-extension of Q( √ 5) and h_n the class number of K_n. We prove that, if ℓ is a prime number less than 6 104, then ℓ does not divide h_n for any non-negative integer n.

本文言語	English
ページ（範囲）	69-81
ページ数	13
ジャーナル	Tokyo Journal of Mathematics
巻	39
号	1
DOI	https://doi.org/10.3836/tjm/1459367258
出版ステータス	Published - 2016 6月

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.3836/tjm/1459367258

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引用スタイル

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