Effective Hilbert Irreducibility

نویسنده

  • Erich Kaltofen
چکیده

I Abstract n this paper we prove by entirely elementary means a very effective version of the Hilbert Irreducibility-n Theorem. We then apply our theorem to construct a probabilistic irreducibility test for sparse multivariate poly omials over arbitrary perfect fields. For the usual coefficient fields the test runs in polynomial time in the input K size.

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عنوان ژورنال:
  • Information and Control

دوره 66  شماره 

صفحات  -

تاریخ انتشار 1984