Open Access
March 2004 Defining polynomial of the first layer of anti-cyclotomic $\mathbf {Z}_3$-extension of imaginary quadratic fields of class number 1
Jae Moon Kim, Jangheon Oh
Proc. Japan Acad. Ser. A Math. Sci. 80(3): 18-19 (March 2004). DOI: 10.3792/pjaa.80.18

Abstract

In this paper, we explicitly compute defining polynomials of the first layer of anti-cyclotomic $\mathbf{Z}_3$-extension of imaginary quadratic fields of class number 1.

Citation

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Jae Moon Kim. Jangheon Oh. "Defining polynomial of the first layer of anti-cyclotomic $\mathbf {Z}_3$-extension of imaginary quadratic fields of class number 1." Proc. Japan Acad. Ser. A Math. Sci. 80 (3) 18 - 19, March 2004. https://doi.org/10.3792/pjaa.80.18

Information

Published: March 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1050.11093
MathSciNet: MR2046261
Digital Object Identifier: 10.3792/pjaa.80.18

Subjects:
Primary: 11R23 , 11R32

Keywords: anti-cyclotomic $\mathbf {Z}_3$-extension , defining polynomial , Iwasawa theory , Kummer extension

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 3 • March 2004
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