## Experimental Mathematics

### Noncyclotomic $\Z_p$-Extensions of Imaginary Quadratic Fields

#### Abstract

Let p be an odd prime number which splits into two distinct primes in an imaginary quadratic field K. Then K has certain kinds of noncyclotomic $\Z_p$-extensions which are constructed through ray class fields with respect to a prime ideal lying above p. We try to show that Iwasawa invariants $\mu$ and $\lambda$ both vanish for these specfic noncyclotomic $\Z_p$-extensions.

#### Article information

Source
Experiment. Math., Volume 11, Issue 4 (2002), 469-475.

Dates
First available in Project Euclid: 10 July 2003

Fukuda, Takashi; Komatsu, Keiichi. Noncyclotomic $\Z_p$-Extensions of Imaginary Quadratic Fields. Experiment. Math. 11 (2002), no. 4, 469--475. https://projecteuclid.org/euclid.em/1057864657