Distribution of units of algebraic number fields with only one fundamental unit
Kitaoka, Yoshiyuki
Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, p. 86-89 / Harvested from Project Euclid
For some algebraic number fields $F$ with only one fundamental unit, we give a lower bound of the extension degree of the ray class field of conductor a rational prime $p$ over the Hilbert class field of $F$.
Publié le : 2004-06-14
Classification:  Algebraic number field,  ray class field,  unit,  distribution,  11R27
@article{1116014782,
     author = {Kitaoka, Yoshiyuki},
     title = {Distribution of units of algebraic number fields with only one fundamental unit},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {80},
     number = {6},
     year = {2004},
     pages = { 86-89},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116014782}
}
Kitaoka, Yoshiyuki. Distribution of units of algebraic number fields with only one fundamental unit. Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, pp.  86-89. http://gdmltest.u-ga.fr/item/1116014782/