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June 2016 Greenberg's Conjecture for the Cyclotomic $\mathbb{Z}_{2}$-extension of Certain Number Fields of Degree Four
Naoki KUMAKAWA
Tokyo J. Math. 39(1): 1-15 (June 2016). DOI: 10.3836/tjm/1471873310

Abstract

The purpose of this paper is to construct infinite families of real abelian number fields $K$ of degree four with $\lambda_{2}(K)= \mu_{2}(K) =0$ and $\nu_{2}(K) >0$.

Citation

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Naoki KUMAKAWA. "Greenberg's Conjecture for the Cyclotomic $\mathbb{Z}_{2}$-extension of Certain Number Fields of Degree Four." Tokyo J. Math. 39 (1) 1 - 15, June 2016. https://doi.org/10.3836/tjm/1471873310

Information

Published: June 2016
First available in Project Euclid: 22 August 2016

zbMATH: 06643260
MathSciNet: MR3543128
Digital Object Identifier: 10.3836/tjm/1471873310

Rights: Copyright © 2016 Publication Committee for the Tokyo Journal of Mathematics

Vol.39 • No. 1 • June 2016
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