previous :: next
Defining polynomial of the first layer of anti-cyclotomic $\mathbf {Z}_3$-extension of imaginary quadratic fields of class number 1
Jae Moon Kim and Jangheon Oh
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 80, Number 3
(2004), 18-19.
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.
First Page:
Show
Hide
Keywords: Iwasawa theory; anti-cyclotomic $\mathbf {Z}_3$-extension; Kummer extension; defining polynomial
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1116442135
Mathematical Reviews number (MathSciNet): MR2046261
Zentralblatt MATH identifier: 1050.11093
Digital Object Identifier: doi:10.3792/pjaa.80.18
References
Cohen, H.: Advanced Topics in Computational Number Theory. Grad. Texts in Math., 193, Springer-Verlag, New York (2000).
Mathematical Reviews (MathSciNet): MR1728313
Zentralblatt MATH: 0977.11056
Oh, J.: The first layer of $\bZ_2^2$-extension over imaginary quadratic fields. Proc. Japan Acad., 76A, 132--134 (2000).
Mathematical Reviews (MathSciNet): MR1801672
Washington, L. C.: Introduction to Cyclotomic Fields. Grad. Texts in Math., 83, Springer-Verlag, New York (1982).
Mathematical Reviews (MathSciNet): MR718674
Zentralblatt MATH: 0484.12001
previous :: next
Proceedings of the Japan Academy, Series A, Mathematical Sciences
