Noncyclotomic $\Z_p$-Extensions of Imaginary Quadratic Fields
Fukuda, Takashi ; Komatsu, Keiichi
Experiment. Math., Tome 11 (2002) no. 3, p. 469-475 / Harvested from Project Euclid
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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.
Publié le : 2002-05-14
Classification:  Iwasawa invariants,  Siegel function,  computation,  11G15,  11R27,  1140 
@article{1057864657,
     author = {Fukuda, Takashi and Komatsu, Keiichi},
     title = {Noncyclotomic $\Z\_p$-Extensions of Imaginary Quadratic Fields},
     journal = {Experiment. Math.},
     volume = {11},
     number = {3},
     year = {2002},
     pages = { 469-475},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1057864657}
}

Fukuda, Takashi; Komatsu, Keiichi. Noncyclotomic $\Z_p$-Extensions of Imaginary Quadratic Fields. Experiment. Math., Tome 11 (2002) no. 3, pp.  469-475. http://gdmltest.u-ga.fr/item/1057864657/