Computing all power integral bases in orders of totally real cyclic sextic number fields-Reference-Cited by-同舟云学术

Computing all power integral bases in orders of totally real cyclic sextic number fields

Published:1996 Issue:214 Volume:65 Page:801-822
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Gaál István

Abstract

An algorithm is given for determining all power integral bases in orders of totally real cyclic sextic number fields. The orders considered are in most cases the maximal orders of the fields. The corresponding index form equation is reduced to a relative Thue equation of degree 3 over the quadratic subfield and to some inhomogeneous Thue equations of degree 3 over the rationals. At the end of the paper, numerical examples are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-214/S0025-5718-96-00708-9/S0025-5718-96-00708-9.pdf

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