Effective determination of the decomposition of the rational primes in a cubic field-Reference-Cited by-同舟云学术

Effective determination of the decomposition of the rational primes in a cubic field

Published:1983 Issue:4 Volume:87 Page:579-585
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Llorente Pascual,Nart Enric

Abstract

The decomposition of the rational primes in a cubic field K K is determined in terms of the coefficients of a defining polynomial of K K . As a consequence, the discriminant D D of K K is straightforwardly computed and the cubic fields with index i ( K ) = 2 i(K) = 2 are easily characterized.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-04/S0002-9939-1983-0687621-6/S0002-9939-1983-0687621-6.pdf

Reference8 articles.

1. M. Bauer, Zur allgemeinen Theorie der algebraischen Grössen, J. Reine Angew. Math. 132 (1907), 21-32.

2. R. Dedekind, Über den Zusammenhang zwischen der Theorie der Ideale und der höheren Kongruenzen, Abh. Kgl. Ges. Wiss. Göttingen 23 (1878), 1-23.

3. Translations of Mathematical Monographs, Vol. 10;Delone, B. N.,1964

4. On the common index divisors of an algebraic field;Engstrom, H. T.;Trans. Amer. Math. Soc.,1930

5. Arithmetische Theorie der kubischen Zahlkörper auf klassenkörpertheoretischer Grundlage;Hasse, Helmut;Math. Z.,1930

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