Divisibility of class numbers: enumerative approach

Details Divisibility of class numbers: enumerative approach Divisibility of class numbers: enumerative approach

2004-10-10

arxiv.org/abs/math/0410246v1

Mathematics

Number Theory

Scientific paper

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.

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