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

 

A note on class-number one in pure cubic fields


Authors: H. C. Williams and Daniel Shanks
Journal: Math. Comp. 33 (1979), 1317-1320
MSC: Primary 12A30; Secondary 12-04, 12A50
MathSciNet review: 537977
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1979-0537977-7
PII: S 0025-5718(1979)0537977-7
Article copyright: © Copyright 1979 American Mathematical Society