Effective Noether Irreducibility Forms and Applications

@article{Kaltofen1991EffectiveNI,
  title={Effective Noether Irreducibility Forms and Applications},
  author={Erich Kaltofen},
  journal={J. Comput. Syst. Sci.},
  year={1991},
  volume={50},
  pages={274-295}
}
Using recent absolute irreducibility testing algorithms, we derive new irreducibility forms. These are integer polynomials in variables which are the generic coefficients of a multivariate polynomial of a given degree. A (multivariate) polynomial over a specific field is said to be absolutely irreducible if it is irreducible over the algebraic closure of its coefficient field. A specific polynomial of a certain degree is absolutely irreducible, if and only if all the corresponding… CONTINUE READING
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