Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Note on class number parity of an abelian field of prime conductor, II
Humio Ichimura
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2019 年 42 巻 1 号 p. 99-110

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For a fixed integer n ≥ 1, let p = 2nℓ + 1 be a prime number with an odd prime number , and let F = Fp,ℓ be the real abelian field of conductor p and degree . We show that the class number hF of F is odd when 2 remains prime in the real th cyclotomic field Q)+ and is sufficiently large.

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© 2019 Department of Mathematics, Tokyo Institute of Technology
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