Certain pure cubic fields with class-number one
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- by H. C. Williams PDF
- Math. Comp. 31 (1977), 578-580 Request permission
Erratum: Math. Comp. 33 (1979), 847-848.
Corrigendum: Math. Comp. 33 (1979), 847-848.
Abstract:
A description is given of the results of some calculations performed to determine the class number of each of the pure cubic fields $Q(\sqrt [3]{q})$, where $q\;( \equiv - 1\;\pmod 3)$ is a prime and $q < 35,100$. The stability of the percentage of these fields having class-number one is examined.References
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- M. D. Hendy, The distribution of ideal class numbers of real quadratic fields, Math. Comp. 29 (1975), no. 132, 1129–1134. MR 409402, DOI 10.1090/S0025-5718-1975-0409402-4
- Richard B. Lakein, Computation of the ideal class group of certain complex quartic fields, Math. Comp. 28 (1974), 839–846. MR 374090, DOI 10.1090/S0025-5718-1974-0374090-1
- Richard B. Lakein, Computation of the ideal class group of certain complex quartic fields. II, Math. Comp. 29 (1975), 137–144. MR 444605, DOI 10.1090/S0025-5718-1975-0444605-4
- Richard B. Lakein, Computation of the ideal class group of certain complex quartic fields. II, Math. Comp. 29 (1975), 137–144. MR 444605, DOI 10.1090/S0025-5718-1975-0444605-4 DANIEL SHANKS, "Review of UMT File: Class Number of Primes of the Form $4n + 1$," Math. Comp., v. 23, 1969, pp. 213-214. DANIEL SHANKS, "Review of UMT File: Table of Pure Cubic Fields $Q(\sqrt [3]{D})$ for $D < 10^4$", Math. Comp., v. 30, 1976, pp. 377-379.
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 578-580
- MSC: Primary 12A50; Secondary 12A30, 12-04
- DOI: https://doi.org/10.1090/S0025-5718-1977-0432591-4
- MathSciNet review: 0432591