On the computation of a table of complex cubic fields with discriminant d > -106

Mathematics of Computation

Volumn 55, Issue 191, 1990, Pages 313-325

  Fung, Gilbert W ^a   Williams, H C ^a  

^a NONE

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[No Author keywords available]

Indexed keywords

EID: 84966219348     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1990-1023760-X     Document Type: Article

References (16)

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3. P. Barrucand, H. C. Williams, and L. Baniuk, A computational technique for determining the class number of a pure cubic field. Math. Comp. 30 (1976), 312-323.
4. J. Buchmann and H. C. Williams, On the computation of the class number of an algebraic number field. Math. Comp. 53 (1989), 679-688.
5. H. Cohen and J. Martinet, Class groups of number fields: numerical heuristics. Math. Comp. 48(1987), 123-138.
6. H. Davenport and H. Heilbronn, On the density of discriminants of cubic fields. II. Proc. Roy. Soc. London Ser. A 322 (1971), 405-420.
7. B. N. Delone and D. K. Faddeev, The theory of irrationalities of the third degree. Transi. Amer. Math. Soc, vol. 10, Amer. Math. Soc, Providence, R.I., 1964.
8. V. Ennola and R. Turunen, On totally real cubic fields, Math. Comp. 44 (1985), 495-518.
9. P. Llórente and E. Nart, Effective determination of the decomposition of the rational primes in a pure cubic field, Proc Amer. Math. Soc. 87 (1983), 579-585.
10. P. Llórente and J. Quer, On totally real cubic fields with discriminant D < 10, Math. Comp. 50(1988), 581-594.
11. D. Shanks. A survey of quadratic, cubic and quartic algebraic number fields (from a computational point of view), Cong. Numer. 17 (1976), 15-40.
12. D. Shanks. Review of [1], Math. Comp. 29 (1975), 661-665.
13. H. C. Williams, Continued fractions and number-theoretic computations. Rocky Mountain J. Math. 15(1985), 621-655.
14. H. C. Williams, Effective primality tests for some integers of the form A 5n - 1 and A7n - 1, Math. Comp. 48(1987), 385-403.
15. H. C. Williams, G. Cormack, and E. Seah, Calculation of the regulator of a pure cubic field. Math. Comp. 34(1980). 567-611.
16. H. C. Williams and C. R. Zarnke, Some algorithms for solving a cubic congruence modulo p, Utilitas Math. 6 (1974), 285-306.