The number of imaginary quadratic fields with a given class number

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dc.creatorSoundararajan, K.
dc.date2007-07-02
dc.date2007-08-14
dc.date.accessioned2026-07-07T08:23:16Z
dc.date.available2026-07-07T08:23:16Z
dc.descriptionWe investigate the number ${\Cal F}(h)$ of imaginary quadratic fields with class number $h$. We establish an asymptotic formula for the average value of ${\Cal F}(h)$. We also establish a modest non-trivial upper bound for ${\Cal F}(h)$ and give an application to a question of Rosen and Silverman on the odd part of the class number. Finally, we speculate on the asymptotic nature of ${\Cal F}(h)$.
dc.description6 pages; Version 2 has some light changes
dc.identifierhttps://arxiv.org/abs/0707.0237
dc.identifierhttp://arxiv.org/abs/0707.0237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135935
dc.subjectNumber Theory
dc.titleThe number of imaginary quadratic fields with a given class number
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