Density of cubic field discriminants

Roberts, David

doi:10.1090/S0025-5718-00-01291-6

Density of cubic field discriminants
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by David P. Roberts;

Math. Comp. 70 (2001), 1699-1705

DOI: https://doi.org/10.1090/S0025-5718-00-01291-6

Published electronically: October 18, 2000

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

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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