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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Density of cubic field discriminants
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by David P. Roberts PDF
Math. Comp. 70 (2001), 1699-1705 Request permission

Erratum: Math. Comp. 41 (1983), 775-778.
Erratum: Math. Comp. 36 (1981), 316-317.
Erratum: Math. Comp. 36 (1981), 315-316.


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:
  • Received by editor(s): April 20, 1999
  • Received by editor(s) in revised form: January 6, 2000
  • Published electronically: October 18, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 70 (2001), 1699-1705
  • MSC (2000): Primary 11N56, 11R16
  • DOI:
  • MathSciNet review: 1836927