Proceedings of the Japan Academy, Series A, Mathematical Sciences

Ichimura-Sumida criterion for Iwasawa $\lambda $-invariants

Takashi Fukuda and Keiichi Komatsu

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Abstract

For an odd prime number $p$ and real abelian number fields $k$ with the degree $[k : \mathbf{Q}] = p$ in which $p$ splits completely, we give a criterion for vanishing of Iwasawa $\lambda$-invariants.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 76, Number 7 (2000), 111-115.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148393470

Digital Object Identifier
doi:10.3792/pjaa.76.111

Mathematical Reviews number (MathSciNet)
MR1785636

Zentralblatt MATH identifier
0971.11054

Subjects
Primary: 11R23: Iwasawa theory 11R27: Units and factorization 11Y40: Algebraic number theory computations

Keywords
Iwasawa invariant cyclotomic unit cubic field

Citation

Fukuda, Takashi; Komatsu, Keiichi. Ichimura-Sumida criterion for Iwasawa $\lambda $-invariants. Proc. Japan Acad. Ser. A Math. Sci. 76 (2000), no. 7, 111--115. doi:10.3792/pjaa.76.111. https://projecteuclid.org/euclid.pja/1148393470


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References

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