Absolute primality of polynomials is decidable in random polynomial time in the number of variables

  • Joos Heintz
  • Malte Sieveking
Session 1: A. Paz, Chairman
Part of the Lecture Notes in Computer Science book series (LNCS, volume 115)


Let F be a n-variate polynomial with deg F = d over an infinite field k0. Absolute primality of F can be decided randomly in time polynomial in n and exponential in d5 and determinalistically in time exponential in d6 + n2 d3.


Prime Ideal Arithmetical Operation Polynomial Ring Zero Divisor Quantifier Elimination 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Joos Heintz
  • Malte Sieveking

There are no affiliations available

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