English

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

Number Theory 2010-08-24 v1

Abstract

For every prime integer pp, an explicit factorization of the principal ideal p\zKp\z_K into prime ideals of \zK\z_K is given, where KK is a quartic number field defined by an irreducible polynomial X4+aX+b\z[X]X^4+aX+b\in\z[X].

Keywords

Cite

@article{arxiv.1008.3674,
  title  = {Explicit Factorization of Prime Integers in Quartic Number Fields defined by $X^4+aX+b$},
  author = {Lhoussain El Fadil},
  journal= {arXiv preprint arXiv:1008.3674},
  year   = {2010}
}

Comments

submitted on 5.5.2010

R2 v1 2026-06-21T16:03:41.314Z