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

Takuya Aoki

Research output: Contribution to journalArticle

Abstract

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

Original languageEnglish
Pages (from-to)69-81
Number of pages13
JournalTokyo Journal of Mathematics
Volume39
Issue number1
DOIs
Publication statusPublished - 2016 Jun 1

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Cyclotomic
Class number
Prime number
Divides
Non-negative
Integer

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A Class Number Problem for the Cyclotomic Z2-extension of Q(√5). / Aoki, Takuya.

In: Tokyo Journal of Mathematics, Vol. 39, No. 1, 01.06.2016, p. 69-81.

Research output: Contribution to journalArticle

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