Polynomial-Time Reductions from Multivariate to Bi- and Univariate Integral Polynomial Factorization

@article{Kaltofen1985PolynomialTimeRF,
  title={Polynomial-Time Reductions from Multivariate to Bi- and Univariate Integral Polynomial Factorization},
  author={Erich L. Kaltofen},
  journal={SIAM J. Comput.},
  year={1985},
  volume={14},
  pages={469-489}
}
  • E. Kaltofen
  • Published 1 May 1985
  • Mathematics
  • SIAM J. Comput.
Consider a polynomial f with an arbitrary but fixed number of variables and with integral coefficients. We present an algorithm which reduces the problem of finding the irreducible factors of f in polynomial-time in the total degree of f and the coefficient lengths of f to factoring a univariate integral polynomial. Together with A. Lenstra’s,.H. Lenstra’s and L. Lovasz’ polynomial-time factorization algorithm for univariate integral polynomials [Math. Ann., 261 (1982), pp. 515–534] this… 

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