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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Class numbers and $ \mu $-invariants of cyclotomic fields


Author: T. Metsänkylä
Journal: Proc. Amer. Math. Soc. 43 (1974), 299-300
MSC: Primary 12A50; Secondary 12A35
MathSciNet review: 0332721
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Abstract: We give a new upper bound for the $ \mu $-invariant of a cyclotomic field by estimating the first factor of the class number of the $ p$th cyclotomic field ($ p$ an odd prime).


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0332721-8
PII: S 0002-9939(1974)0332721-8
Keywords: Class number, cyclotomic field
Article copyright: © Copyright 1974 American Mathematical Society