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On the real cubic fields

Authors: P. Llorente and A. V. Oneto
Journal: Math. Comp. 39 (1982), 689-692
MSC: Primary 12A30; Secondary 12-04
MathSciNet review: 669661
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Abstract: In this paper the authors announce a table of the 4753 totally real nonconjugate nonabelian cubic fields with discriminant less than 100000. Each field is given by its discriminant, the coefficients of a generating polynomial and the index of this polynomial over the field. A basis of the integers of the field is also given. Some differences with other tables are pointed out.

References [Enhancements On Off] (What's this?)

  • [1] I. O. Angell, "A table of totally real cubic fields," Math. Comp., v. 30, 1976, pp. 184-187. MR 0401701 (53:5528)
  • [2] H. Davenport & H. Heilbronn, "On the density of discriminants of cubic fields," Bull. London Math. Soc., v. 1, 1969, pp. 345-348. MR 0254010 (40:7223)
  • [3] H. J. Godwin & P. A. Samet, "A table of real cubic fields," J. London Math. Soc., v. 34, 1959, pp. 108-110. MR 0100579 (20:7009)
  • [4] P. Llorente, Cuerpos Cúbicos y Cuerpo de Clases de Cuerpos Cuadráticos Reales, Acta $ {2^ \circ }$ Congr. Mat., Venezuela, 1979.
  • [5] P. Llorente & A. V. Oneto, Cuerpos Cúbicos, Cursos, Seminarios y Tesis del PEAM, No. 5, Univ. Zulia, Maracaibo, Venezuela, 1980.

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Keywords: Real cubic field, class number
Article copyright: © Copyright 1982 American Mathematical Society

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