A fast algorithm to compute cubic fields-Reference-Cited by-同舟云学术

A fast algorithm to compute cubic fields

Published:1997 Issue:219 Volume:66 Page:1213-1237
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Belabas K.

Abstract

We present a very fast algorithm to build up tables of cubic fields. Real cubic fields with discriminant up to 10 11 10^{11} and complex cubic fields down to − 10 11 -10^{11} have been computed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1997-66-219/S0025-5718-97-00846-6/S0025-5718-97-00846-6.pdf

Reference15 articles.

1. C. Batut, D. Bernardi, H. Cohen, and M. Olivier, User’s guide to pari-gp, version 1.39.03, available from ftp: megrez.math.u-bordeaux.fr, 1995.

2. K. Belabas, Crible et 3-rang des corps quadratiques, Ann. de l’Inst. Fourier 46 (1996), pp. 909–949.

3. Graduate Texts in Mathematics;Cohen, Henri,1993

4. Annihilator ideals and representation iteration for abstract rings;Everett, C. J., Jr.;Duke Math. J.,1939

5. Annihilator ideals and representation iteration for abstract rings;Everett, C. J., Jr.;Duke Math. J.,1939

Cited by 56 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Congruence Properties of a Class of Constrained Overpartition Functions;Pure Mathematics;2024

2. Improved error estimates for the Davenport–Heilbronn theorems;Mathematische Annalen;2023-10-04

3. Solving -unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture;Memoirs of the American Mathematical Society;2023-06

4. Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori);Journal of Number Theory;2022-12

5. Statistics of genus numbers of cubic fields;Annales de l'Institut Fourier;2022-11-28