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

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Let 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.
10 pages

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Number Theory, 11R16; 11R29

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http://salesiana.dossiersoluciones.com/handle/123456789/74169

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502259
 http://arxiv.org/abs/math/0502259

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arXiv