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On the Density of Cyclic Quartic Fields

Published:2001-03-01
Printed: Mar 2001
• Zhiming M. Ou
• Kenneth S. Williams
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Abstract

An asymptotic formula is obtained for the number of cyclic quartic fields over $Q$ with discriminant $\leq x$.
 Keywords: cyclic quartic fields, density, discriminant
 MSC Classifications: 11R16 - Cubic and quartic extensions 11R29 - Class numbers, class groups, discriminants

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