Open Access
Dec. 2000 On Greenberg's conjecture on a certain real quadratic field
Yasushi Mizusawa
Proc. Japan Acad. Ser. A Math. Sci. 76(10): 163-164 (Dec. 2000). DOI: 10.3792/pjaa.76.163

Abstract

In this paper, we prove by using Ichimura-Sumida criterion the vanishing of the Iwasawa $\lambda_3$-invariant of the real quadratic field $\mathbf{Q}(\sqrt{39345017} )$. We use also the fact that the field has the infinite 3-class field tower.

Citation

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Yasushi Mizusawa. "On Greenberg's conjecture on a certain real quadratic field." Proc. Japan Acad. Ser. A Math. Sci. 76 (10) 163 - 164, Dec. 2000. https://doi.org/10.3792/pjaa.76.163

Information

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

zbMATH: 0990.11065
MathSciNet: MR1804276
Digital Object Identifier: 10.3792/pjaa.76.163

Subjects:
Primary: 11R11 , 11R23 , 11Y40

Keywords: class field tower , Iwasawa invariant , real quadratic field

Rights: Copyright © 2000 The Japan Academy

Vol.76 • No. 10 • Dec. 2000
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