Divisibility of class numbers: enumerative approach
Yuri Bilu, Florian Luca · arXiv (Cornell University) · 2004
Murty proved that for all sufficiently large $X$ there exist at least ${c(\ell,\eps) X^{1/{4\ell}-\eps}}$ real quadratic fields with class number divisible by $\ell$ and discriminant not exceeding $X$ in absolute value. We extend this this to number fields of arbitrary degree.