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

doi:10.3792/pjaa.80.18

Translator Disclaimer

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

Download Citation

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