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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2024 MCQ for Mathematics of Computation is 1.78.

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.

 

A computational technique for determining the class number of a pure cubic field
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by Pierre Barrucand, H. C. Williams and L. Baniuk PDF
Math. Comp. 30 (1976), 312-323 Request permission

Abstract:

Two different computational techniques for determining the class number of a pure cubic field are discussed. These techniques were implemented on an IBM/370-158 computer, and the class number for each pure cubic field $Q({D^{1/3}})$ for $D = 2,3, \ldots ,9999$ 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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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Math. Comp. 30 (1976), 312-323
  • MSC: Primary 12A50; Secondary 12A30, 12A70
  • DOI: https://doi.org/10.1090/S0025-5718-1976-0392913-9
  • MathSciNet review: 0392913