On Iwasawa $\lambda _3$-invariants of cyclic cubic fields of prime conductor
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- by Takashi Fukuda and Keiichi Komatsu PDF
- Math. Comp. 70 (2001), 1707-1712 Request permission
Abstract:
For certain cyclic cubic fields $k$, we verified that Iwasawa invariants $\lambda _3(k)$ vanished by calculating units of abelian number field of degree 27. Our method is based on the explicit representation of a system of cyclotomic units of those fields.References
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Additional Information
- Takashi Fukuda
- Affiliation: Department of Mathematics, College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino, Chiba, Japan
- Email: fukuda@math.cit.nihon-u.ac.jp
- Keiichi Komatsu
- Affiliation: Department of Information and Computer Science, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169, Japan
- Email: kkomatsu@mse.waseda.ac.jp
- Received by editor(s): August 5, 1999
- Received by editor(s) in revised form: January 6, 2000
- Published electronically: November 13, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 70 (2001), 1707-1712
- MSC (2000): Primary 11R23, 11R27, 11Y40
- DOI: https://doi.org/10.1090/S0025-5718-00-01284-9
- MathSciNet review: 1836928