Open Access
Sept. 2000 Ichimura-Sumida criterion for Iwasawa $\lambda $-invariants
Takashi Fukuda, Keiichi Komatsu
Proc. Japan Acad. Ser. A Math. Sci. 76(7): 111-115 (Sept. 2000). DOI: 10.3792/pjaa.76.111

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.

Citation

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Takashi Fukuda. Keiichi Komatsu. "Ichimura-Sumida criterion for Iwasawa $\lambda $-invariants." Proc. Japan Acad. Ser. A Math. Sci. 76 (7) 111 - 115, Sept. 2000. https://doi.org/10.3792/pjaa.76.111

Information

Published: Sept. 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0971.11054
MathSciNet: MR1785636
Digital Object Identifier: 10.3792/pjaa.76.111

Subjects:
Primary: 11R23 , 11R27 , 11Y40

Keywords: cubic field , cyclotomic unit , Iwasawa invariant

Rights: Copyright © 2000 The Japan Academy

Vol.76 • No. 7 • Sept. 2000
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