抄録
Let hn denote the class number of Q(2 cos2π/2n+2) which is a cyclic extension of degree 2n over the rational number field Q. There are no known examples of hn > 1. We prove that a prime number ℓ does not divide hn for all n < 1 if ℓ is less than 109 or ℓ satisfies a congruence relation ℓ ≢ ± 1 (mod 32).
本文言語 | English |
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ページ(範囲) | 1627-1635 |
ページ数 | 9 |
ジャーナル | International Journal of Number Theory |
巻 | 7 |
号 | 6 |
DOI | |
出版ステータス | Published - 2011 9月 |
ASJC Scopus subject areas
- 代数と数論