The number of extensions of a number field with fixed degree and bounded discriminant

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dc.creatorEllenberg, Jordan S.
dc.creatorVenkatesh, Akshay
dc.date2003-09-08
dc.date.accessioned2026-07-07T05:00:58Z
dc.date.available2026-07-07T05:00:58Z
dc.descriptionWe give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant less than X; these bounds improve on work of Schmidt. We also prove various related results, such as lower bounds for the number of extensions and upper bounds for Galois extensions.
dc.identifierhttps://arxiv.org/abs/math/0309153
dc.identifierhttp://arxiv.org/abs/math/0309153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68513
dc.subjectNumber Theory
dc.titleThe number of extensions of a number field with fixed degree and bounded discriminant
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