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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Density of cubic field discriminants


Author: David P. Roberts
Journal: Math. Comp. 70 (2001), 1699-1705
MSC (2000): Primary 11N56, 11R16
Published electronically: October 18, 2000
Erratum: Math. Comp. 41 (1983), 775-778.
Erratum: Math. Comp. 36 (1981), 316-317.
Erratum: Math. Comp. 36 (1981), 315-316.
MathSciNet review: 1836927
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Abstract | References | Similar Articles | Additional Information

Abstract:

In this paper we give a conjectural refinement of the Davenport-Heilbronn theorem on the density of cubic field discriminants. Our refinement is plausible theoretically and agrees very well with computational data.


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Additional Information

David P. Roberts
Affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
Address at time of publication: Division of Science and Mathematics, University of Minnesota-Morris, Morris, Minnesota 56267
Email: roberts@mrs.umn.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-00-01291-6
PII: S 0025-5718(00)01291-6
Received by editor(s): April 20, 1999
Received by editor(s) in revised form: January 6, 2000
Published electronically: October 18, 2000
Article copyright: © Copyright 2000 American Mathematical Society