• Title of article

    Probabilities for absolute irreducibility of multivariate polynomials by the polytope method

  • Author/Authors

    Koyuncu, Fatih Mugla University - Department of Mathematics, TURKEY , Ozbudak, Ferruh Middle East Technical University - Institute of Applied Mathematics - Department of Mathematics, TURKEY

  • From page
    367
  • To page
    377
  • Abstract
    Motivated by the Dubickas s result in [1], which computes the probability of the irreducible polynomials by Eisenstein s criterion for some families of polynomials in Z[x], we calculate the probabilities which represent the ratio of absolutely irreducible multivariate polynomials by the polytope method in some families of polynomials over arbitrary fields.
  • Keywords
    Absolute irreducibility , polytopes , multivariate polynomials
  • Journal title
    Turkish Journal of Mathematics
  • Journal title
    Turkish Journal of Mathematics
  • Record number

    2530953