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^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	69-81
Number of pages	13
Journal	Tokyo Journal of Mathematics
Volume	39
Issue number	1
DOIs	https://doi.org/10.3836/tjm/1459367258
Publication status	Published - 2016 Jun

ASJC Scopus subject areas

Mathematics(all)

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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.",

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AB - 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.

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

Abstract

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