The number of imaginary quadratic fields with a given class numberArticle
Authors: K Soundararajan 1
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K Soundararajan
1 Department of Mathematics [Stanford]
This paper formulates some conjectures for the number of imaginary quadratic fields of a given class number. It establishes an asymptotic formula for the number of such fields with class number below $H$, and also shows that many fields have class numbers lying outside a very thin set.