Computation of an Integral Basis of Quartic Number Fields

Details Computation of an Integral Basis of Quartic Number Fields Computation of an Integral Basis of Quartic Number Fields

2009-07-16

arxiv.org/abs/0907.2786v1

Mathematics

Number Theory

Scientific paper

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 $P(X) = X4 + aX + b
\in\z[X]$ in methodical and complete generality.

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