### 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 μ and λ both vanish for these specfic noncyclotomic ℤ_{p}-extensions.

Original language | English |
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Pages (from-to) | 469-476 |

Number of pages | 8 |

Journal | Experimental Mathematics |

Volume | 11 |

Issue number | 4 |

Publication status | Published - 2002 |

### Keywords

- Computation
- Iwasawa invariants
- Siegel function

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Fukuda, T., & Komatsu, K. (2002). Noncyclotomic ℤ

_{p}-extensions of imaginary quadratic fields.*Experimental Mathematics*,*11*(4), 469-476.