The number of real quadratic fields having units of negative norm
Stevenhagen, Peter
Experiment. Math., Tome 2 (1993) no. 4, p. 121-136 / Harvested from Project Euclid
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We study the density of the set of real quadratic fields for which the norm of the fundamental unit equals $-$1 inside the set of real quadratic fields containing elements of norm $-$1. A conjectural density is derived from a single heuristic assumption, and experimental data supporting this assumption are given. We finally discuss how close one can get to proving such conjectural densities.
Publié le : 1993-05-14
Classification:  11R11,  11R27,  11Y40 
@article{1048516217,
     author = {Stevenhagen, Peter},
     title = {The number of real quadratic fields having units of negative norm},
     journal = {Experiment. Math.},
     volume = {2},
     number = {4},
     year = {1993},
     pages = { 121-136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1048516217}
}

Stevenhagen, Peter. The number of real quadratic fields having units of negative norm. Experiment. Math., Tome 2 (1993) no. 4, pp.  121-136. http://gdmltest.u-ga.fr/item/1048516217/