A table of totally real cubic fields-Reference-Cited by-同舟云学术

A table of totally real cubic fields

Published:1976 Issue:133 Volume:30 Page:184-187
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Angell I. O.

Abstract

In this paper the author describes the construction of a table of totally real cubic number fields. Each field is distinguished by the coefficients of a generating polynomial, the index of this polynomial over the field and the discriminant of the field. The class number and a fundamental pair of units is also given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1976-30-133/S0025-5718-1976-0401701-6/S0025-5718-1976-0401701-6.pdf

Reference8 articles.

1. A table of complex cubic fields;Angell, I. O.;Bull. London Math. Soc.,1973

2. P. BACHMANN, Allgemeine Arithmetik der Zahlkörper, Leipzig, 1905.

3. H. DAVENPORT, "On the product of three homogeneous linear forms. II," Proc. London Math. Soc. (2), v. 44, 1938; pp. 412-431.

4. On the density of discriminants of cubic fields;Davenport, H.;Bull. London Math. Soc.,1969

5. Theory of Irrationalities of Third Degree;Delone, B. N.;Acad. Sci. URSS. Trav. Inst. Math. Stekloff,,1940

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