Constructing complete tables of quartic fields using Kummer theory-Reference-Cited by-同舟云学术

Constructing complete tables of quartic fields using Kummer theory

Published:2002-06-13 Issue:242 Volume:72 Page:941-951
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cohen Henri,Diaz y Diaz Francisco,Olivier Michel

Abstract

We explain how to construct tables of quartic fields of discriminant less than or equal to a given bound in an efficient manner using Kummer theory, instead of the traditional (and much less efficient) method using the geometry of numbers. As an application, we describe the computation of quartic fields of discriminant up to 10 7 10^7 , the corresponding table being available by anonymous ftp.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2003-72-242/S0025-5718-02-01452-7/S0025-5718-02-01452-7.pdf

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