### 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 |
---|---|

Pages (from-to) | 469-476 |

Number of pages | 8 |

Journal | Experimental Mathematics |

Volume | 11 |

Issue number | 4 |

Publication status | Published - 2002 |

### Fingerprint

### Keywords

- Computation
- Iwasawa invariants
- Siegel function

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

_{p}-extensions of imaginary quadratic fields.

*Experimental Mathematics*,

*11*(4), 469-476.

**Noncyclotomic ℤ _{p}-extensions of imaginary quadratic fields.** / Fukuda, Takashi; Komatsu, Keiichi.

Research output: Contribution to journal › Article

_{p}-extensions of imaginary quadratic fields',

*Experimental Mathematics*, vol. 11, no. 4, pp. 469-476.

_{p}-extensions of imaginary quadratic fields. Experimental Mathematics. 2002;11(4):469-476.

}

TY - JOUR

T1 - Noncyclotomic ℤp-extensions of imaginary quadratic fields

AU - Fukuda, Takashi

AU - Komatsu, Keiichi

PY - 2002

Y1 - 2002

N2 - 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 ℤp-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 ℤp-extensions.

AB - 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 ℤp-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 ℤp-extensions.

KW - Computation

KW - Iwasawa invariants

KW - Siegel function

UR - http://www.scopus.com/inward/record.url?scp=0038445318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038445318&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 469

EP - 476

JO - Experimental Mathematics

JF - Experimental Mathematics

SN - 1058-6458

IS - 4

ER -