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# 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} }

- Published 1991 in J. Comput. Syst. Sci.
DOI:10.1006/jcss.1995.1023

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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