Note on class number parity of an abelian field of prime conductor, II
キーワード:
class number parity,
abelian field
2019 年 42 巻 1 号 p. 99-110
詳細
2019 年 42 巻 1 号 p. 99-110
For a fixed integer n ≥ 1, let p = 2nℓ + 1 be a prime number with an odd prime number ℓ, and let F = Fp,ℓ be the real abelian field of conductor p and degree ℓ. We show that the class number hF of F is odd when 2 remains prime in the real ℓth cyclotomic field Q(ζℓ)+ and ℓ is sufficiently large.
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