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A Note on Class-Number One in Pure Cubic Field

H. C. Williams and Daniel Shanks
Mathematics of Computation
Vol. 33, No. 148 (Oct., 1979), pp. 1317-1320
DOI: 10.2307/2006467
Stable URL: http://www.jstor.org/stable/2006467
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Note on Class-Number One in Pure Cubic Field
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Abstract

We examine a subset of the pure cubic fields wherein individual fields appear to have a probability of having class-number one approximately equal to $3/5$. We also suggest more elaborate but more efficient algorithms that could be used to extend the data.

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