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On the class number and unit index of simplest quartic fields

Published online by Cambridge University Press:  22 January 2016

Andrew J. Lazarus
Andrew J. Lazarus*
Affiliation:
Department of Mathematics and Computer Science, University of California, Riverside, Riverside, CA 92521, U.S.A.
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The term “simplest” field has been used to describe certain totally real, cyclic number fields of degrees 2, 3, 4, 5, 6, and 8. For each of these degrees, the fields are defined by a one-parameter family of polynomials with constant term ±1. The regulator of these “simplest” fields is small in an asymptotic sense: in consequence, the class number of these fields tends to be large.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 121 , March 1991 , pp. 1 - 13
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

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