## 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 |
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Pages (from-to) | 69-81 |

Number of pages | 13 |

Journal | Tokyo Journal of Mathematics |

Volume | 39 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2016 Jun |

## ASJC Scopus subject areas

- Mathematics(all)

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