Abstract
Let hn denote the class number of ℚ(2cos(27π/2 n+2)). Weber proved that hn is odd for all n ≥ 1. We claim that if I is a prime number less than 107, then for all n≥ 1, ℓ does not divide hn.
| Original language | English |
|---|---|
| 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)
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Cite this
Fukuda, T., & Komatsu, K. (2009). Weber's class number problem in the cyclotomic ℤ2-extension of ℚ. Experimental Mathematics, 18(2), 213-222.