Computation of an Integral Basis of Quartic Number Fields
Number Theory
2009-07-17 v1
Abstract
In this paper, based on techniques of Newton polygons, a result which allows the computation of a p integral basis of every quartic number field is given. For each prime integer p, this result allows to compute a p-integral basis of a quartic number field K defined by an irreducible polynomial in methodical and complete generality.
Cite
@article{arxiv.0907.2786,
title = {Computation of an Integral Basis of Quartic Number Fields},
author = {Lhoussain El Fadil},
journal= {arXiv preprint arXiv:0907.2786},
year = {2009}
}