Class numbers and $\mu$-invariants of cyclotomic fields
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- by T. Metsänkylä PDF
- Proc. Amer. Math. Soc. 43 (1974), 299-300 Request permission
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).References
- Kenkichi Iwasawa, On $\Gamma$-extensions of algebraic number fields, Bull. Amer. Math. Soc. 65 (1959), 183–226. MR 124316, DOI 10.1090/S0002-9904-1959-10317-7
- Kenkichi Iwasawa, On the $\mu$-invariants of cyclotomic fields, Acta Arith. 21 (1972), 99–101. MR 302606, DOI 10.4064/aa-21-1-99-101 T. Lepistö, On the class number of the cyclotomic field $k(\exp (2\pi i/{p^h}))$, Ann. Univ. Turku. Ser. A I 125 (1969), 13 pp.
- Tauno Metsänkylä, On the growth of the first factor of the cyclotomic class number, Ann. Univ. Turku. Ser. A I 155 (1972), 12. MR 330103
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 299-300
- MSC: Primary 12A50; Secondary 12A35
- DOI: https://doi.org/10.1090/S0002-9939-1974-0332721-8
- MathSciNet review: 0332721