A computational technique for determining the class number of a pure cubic field
Authors:
Pierre Barrucand, H. C. Williams and L. Baniuk
Journal:
Math. Comp. 30 (1976), 312323
MSC:
Primary 12A50; Secondary 12A30, 12A70
MathSciNet review:
0392913
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Abstract: Two different computational techniques for determining the class number of a pure cubic field are discussed. These techniques were implemented on an IBM/370158 computer, and the class number for each pure cubic field for was obtained. Several tables are presented which summarize the results of these computations. Some theorems concerning the class group structure of pure cubic fields are also given. The paper closes with some conjectures which were inspired by the computer results.
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DOI:
http://dx.doi.org/10.1090/S00255718197603929139
PII:
S 00255718(1976)03929139
Article copyright:
© Copyright 1976 American Mathematical Society
