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/