On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class

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dc.creatorChipchakov, Ivan
dc.creatorKostadinov, Kalin
dc.date2005-02-13
dc.date.accessioned2026-07-07T05:16:56Z
dc.date.available2026-07-07T05:16:56Z
dc.descriptionLet n be an odd number and F an imaginary quadratic field with odd discriminant. We show that there exists infinitely many cubic fields K such that the class number of K is divisible by n and the Galois closure of K contains F.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0502259
dc.identifierhttp://arxiv.org/abs/math/0502259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74169
dc.subjectNumber Theory
dc.subject11R16; 11R29
dc.titleOn the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class
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