On totally real cubic fields with discriminant d < 107

Mathematics of Computation

Volumn 50, Issue 182, 1988, Pages 581-594

  Llórente, Pascual ^a,b   Quer, Jordi ^a,b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966212936     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1988-0929555-8     Document Type: Article

References (11)

1. I. O. ANGELL, “A table of totally real cubic fields, ” Math. Comp., v. 30, 1976, pp. 184-187.
2. H. DAVENPORT & H. HEILBRONN, “On the density of discriminants of cubic fields II, ” Proc. Roy. Soc. London Ser. A, v. 322, 1971, pp. 405-420.
3. B. N. DELONE & D. K. FADDEEV, The Theory of Irrationalities of the Third Degree, Trudy Mat. Inst. Steklov., vol. 11, 1940; English transl., Transl. Math. Monographs, vol. 10, Amer. Math. Soc., Providence, R.I., Second Printing 1978.
4. V. ENNOLA & R. TURUNEN, “On totally real cubic fields, ” Math. Comp., v. 44, 1985, pp. 495-518.
5. H. J. GOODWIN & P. A. SAMET, “A table of real cubic fields, ” J. London Math. Soc., v. 34, 1959, pp. 108-110.
6. P. LLORENTE, “Cubic irreducible polynomials in ZP[X] and the decomposition of rationed primes in a cubic field, ” Publ. Sec. Mat. Univ. Autdnoma Barcelona, v. 27, n. 3, 1983, pp. 5-17.
7. P. LLORENTE & E. NART, “Effective determination of the decomposition of the rational primes in a cubic field, ” Proc. Amer. Math. Soc., v. 87, 1983, pp. 579-585.
8. P. LLORENTE & A. V. ONETO, “Cuerpos cubicos, ” Cursos, Seminarios y Tests del PEAM, n. 5, Univ. Zulia, Maracaibo, Venezuela, 1980.
9. P. LLORENTE & A. V. ONETO, “On the real cubic fields, ” Math. Comp., v. 39, 1982, pp. 689-692.
10. M. SCHERING, “Th6orfemes relatifs aux formes binaires quadratiques qui repr£sentent les memes nombres, ” Jour, de Math. (2), v. 4, 1859, pp. 253-270.
11. D. SHANKS, Review of I. O. Angell, “A table of totally real cubic fields, ” Math. Comp., v. 30, 1976, pp. 670-673.