A table of quintic number fields-Reference-Cited by-同舟云学术

A table of quintic number fields

Published:1994 Issue:207 Volume:63 Page:361-376
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Schwarz A.,Pohst M.,Diaz y Diaz F.

Abstract

All algebraic number fields F of degree 5 and absolute discriminant less than 2 × 10 7 2 \times {10^7} (totally real fields), respectively 5 × 10 6 5 \times {10^6} (other signatures) are determined. We describe the methods which we applied and list significant data.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1994-63-207/S0025-5718-1994-1219705-3/S0025-5718-1994-1219705-3.pdf

Reference18 articles.

1. Sylvester’s identity and multistep integer-preserving Gaussian elimination;Bareiss, Erwin H.;Math. Comp.,1968

2. On the computation of totally real quartic fields of small discriminant;Buchmann, Johannes;Math. Comp.,1989

3. Enumeration of quartic fields of small discriminant;Buchmann, Johannes;Math. Comp.,1993

4. A table of totally real quintic number fields;Diaz y Diaz, F.;Math. Comp.,1991

5. Enumeration of totally complex quartic fields of small discriminant;Ford, D.,1991

Cited by 19 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. Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori);Journal of Number Theory;2022-12

2. An algorithm which outputs a graph with a specified chromatic factor;Discrete Applied Mathematics;2019-03

3. Some examples of quadratic fields with finite non-solvable maximal unramified extensions II;The Ramanujan Journal;2018-09-10

4. Equivalence among orbital equations of polynomial maps;International Journal of Modern Physics C;2018-09

5. Mixed degree number field computations;The Ramanujan Journal;2018-07-11