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On the class numbers of cyclotomic fields

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Abstract

The finiteness of the number of cyclotomic fields whose relative class numbers have bounded odd parts will be verified and then all the cyclotomic fields with relative class numbers non-trivial 2-powers will be determined.

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Authors and Affiliations

  1. Department of Mathematics, Yamaguchi University, Yoshida, 753, Yamaguchi, Japan

    Kuniaki Horie

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  1. Kuniaki Horie
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This research was supported in part by Grant-in-Aid for Science (No. 01740051), Ministry of Education, Science, and Culture of Japan

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Horie, K. On the class numbers of cyclotomic fields. Manuscripta Math 65, 465–477 (1989). https://doi.org/10.1007/BF01172792

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  • DOI: https://doi.org/10.1007/BF01172792

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