Explicit Factorization of Prime Integers in Quartic Number Fields defined by $X^4+aX+b$

Abstract

For every prime integer $p$, an explicit factorization of the principal ideal $p\z_K$ into prime ideals of $\z_K$ is given, where $K$ is a quartic number field defined by an irreducible polynomial $X^4+aX+b\in\z[X]$.

submitted on 5.5.2010

References in corpus (2)

• Newton polygons of higher order in algebraic number theory
• Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields