### Abstract

Let h_{n} denote the class number of ℚ(2cos(27π/2 ^{n+2})). Weber proved that h_{n} is odd for all n ≥ 1. We claim that if I is a prime number less than 10^{7}, then for all n≥ 1, ℓ does not divide h_{n}.

Original language | English |
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Pages (from-to) | 213-222 |

Number of pages | 10 |

Journal | Experimental Mathematics |

Volume | 18 |

Issue number | 2 |

Publication status | Published - 2009 |

### Keywords

- Class number
- Computation

### ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint Dive into the research topics of 'Weber's class number problem in the cyclotomic ℤ<sub>2</sub>-extension of ℚ'. Together they form a unique fingerprint.

## Cite this

Fukuda, T., & Komatsu, K. (2009). Weber's class number problem in the cyclotomic ℤ

_{2}-extension of ℚ.*Experimental Mathematics*,*18*(2), 213-222.