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On the class numbers of cyclotomic fields
Authors:Kuniaki Horie
Affiliation:(1) Department of Mathematics, Yamaguchi University, Yoshida, 753 Yamaguchi, Japan
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.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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